Abstract
P-stars are compact relativistic stars made of deconfined up and down quarks in a chromomagnetic condensate proposed by us long time ago. P-stars do not admit a critical mass thereby they are able to overcome the gravitational collapse to black holes. In this work we discuss in greater details our theoretical proposal for P-stars. We point out that our theory for compact relativistic stars stems from our own understanding of the confining quantum vacuum supported by estensive non-perturbative numerical simulations of quantum chromodynamics on the lattice. We compare our proposal with the constraints arising from the recent observations of massive pulsars, the gravitational event GW170817 and the precise determination of the PSR J0030+0451 mass and radius from NICER data. We argue that core-collapsed supernovae could give rise to a P-star instead of a neutron star. In this case we show that the birth of a P-star could solve the supernova explosion problem leading to successful supernova explosions with total energies up to \(10^{53}\) erg. We critically compare P-stars with the gravitational wave event GW170817 and the subsequent electromagnetic follow-up, the short Gamma Ray Burst GRB170817A and the kilonova AT2017gfo. We also present an explorative study on gravitational wave emission from coalescing binary P-stars with masses \(M_1 \simeq M_2 \simeq 30 M_{\odot }\). We attempt a qualitative comparison with the gravitational wave event GW150914. We find that the gravitational wave strain amplitude from massive P-star binaries could mimic the ringdown gravitational wave emission by coalescing black hole binaries. We point out that a clear signature for massive P-stars would be the detection of wobble frequencies in the gravitational wave strain amplitude in the post-merger phase of two coalescing massive compact objects with unequal masses.
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Notes
Note that through the paper we are adopting cgs units; however, in this Section we use the natural units of high-energy physics were the Planck constant and the speed of light are set to one, \(\hslash = c = 1\). In these units the color coupling constant g is dimensionless and \(\sqrt{gH}\) has dimension of energy. To switch to cgs units it suffices to replace gH with \(\hslash c gH\). It is also useful to point out that 1.0 GeV\(^2 \, \simeq \,\) 5.13 \(\times \) 10\(^{19}\) G.
Note that, since we set \(c=1\), the energy density coincides with the mass density \(\rho \).
We shall follow the conventions adopted in Ref. [39].
Note that 1 GeV\(^4 = 2.086 \times 10^{35}\) dyn/cm\(^2\) and 1 GeV\(^4\)/c\(^2\) = 2.32 \(\times 10^{14}\) gr/cm\(^3\).
For a detailed review that includes an illustration of X-ray modelling techniques and associated uncertainties, see Ref. [89].
This corresponds to \(c_s^\mathrm{eff} \simeq 0.2 \, c\).
References
B.P. Abbott et al., The LIGO scientific and virgo collaborations, Observation of gravitational waves from a binary black hole merger. Phys. Rev. Lett. 116, 061102 (2016)
B.P. Abbott et al., The LIGO scientific and virgo collaborations, GW151226: observation of gravitational waves from a 22-solar-mass binary black hole coalescence. Phys. Rev. Lett. 116, 241103 (2016)
B.P. Abbott et al., The LIGO Scientific and virgo collaborations, Binary black hole mergers in the first advanced LIGO observing run. Phys. Rev. X 6, 041015 (2016)
B.P. Abbott, et al., The LIGO scientific and virgo collaborations, GW170104: observation of a 50-solar-mass binary black hole coalescence at redshift 0.2, Phys. Rev. Lett. 118 (2017) 221101
B.P. Abbott et al., The LIGO scientific and virgo collaborations, GW170608: observation of a 19 solar-mass binary black hole coalescence. Astrophys. J. Lett. 851, L35 (2017)
B.P. Abbott et al., The LIGO scientific and virgo collaborations, GW170814: a three-detector observation of gravitational waves from a binary black hole coalescence. Phys. Rev. Lett. 119, 141101 (2017)
B.P. Abbott et al., The LIGO scientific and virgo collaborations, GW170817: observation of gravitational waves from a binary neutron star inspiral. Phys. Rev. Lett. 119, 161101 (2017)
B.P. Abbott et al., The LIGO scientific and virgo collaborations, GWTC-1: a gravitational-wave transient catalog of compact binary mergers observed by LIGO and virgo during the first and second observing runs. Phys. Rev. X 9, 031040 (2019)
B.P. Abbott et al., The LIGO scientific and virgo collaborations, Tests of general relativity with GW150914. Phys. Rev. Lett. 116, 221101 (2016)
B.P. Abbott et al., The LIGO scientific and virgo collaborations, Properties of the binary black hole merger GW150914. Phys. Rev. Lett. 116, 241102 (2016)
B.P. Abbott et al., The LIGO scientific and virgo collaborations, The basic physics of the binary black hole merger GW150914. Annalen der Physik 529, 1600209 (2017)
LIGO Scientific Collaboration and Virgo Collaboration, Fermi GBM, INTEGRAL, IceCube Collaboration, AstroSat Cadmium Zinc Telluride Imager Team, IPN Collaboration, The Insight-Hxmt Collaboration, ANTARES Collaboration, The Swift Collaboration, AGILE Team, The 1M2H Team, The Dark Energy Camera GW-EM Collaboration and the DES Collaboration, The DLT40 Collaboration, GRAWITA: GRAvitational Wave Inaf TeAm, The Fermi Large Area Telescope Collaboration, ATCA: Australia Telescope Compact Array, ASKAP: Australian SKA Pathfinder, Las Cumbres Observatory Group, OzGrav, DWF (Deeper, Wider, Faster Program), AST3,and CAASTRO Collaborations, The VINROUGE Collaboration, MASTER Collaboration, J-GEM, GROWTH, JAGWAR, Caltech-NRAO, TTU-NRAO, and NuSTAR Collaborations, Pan-STARRS, The MAXI Team, TZAC Consortium, KU Collaboration, Nordic Optical Telescope, ePESSTO, GROND, Texas Tech University, SALT Group, TOROS: Transient Robotic Observatory of the South Collaboration, The BOOTES Collaboration, MWA: Murchison Widefield Array, The CALET Collaboration, IKI-GW Follow-up Collaboration, H.E.S.S. Collaboration, LOFAR Collaboration, LWA: Long Wavelength Array, HAWC Collaboration, The Pierre Auger Collaboration, ALMA Collaboration, Euro VLBI Team, Pi of the Sky Collaboration, The Chandra Team at McGill University, DFN: Desert Fireball Network, ATLAS, High Time Resolution Universe Survey, RIMAS and RATIR, and SKA South Africa/MeerKAT, Multi-messenger Observations of a Binary Neutron Star Merger, Astrophys. J. Lett. 848 (2017) L12
LIGO scientific collaboration and virgo collaboration, Fermi Gamma-ray burst monitor, and INTEGRAL, Gravitational waves and gamma-rays from a binary neutron star merger: GW170817 and GRB 170817A. Astrophys. J. Lett. 848, L13 (2017)
A. Hewish, S.G. Bell, J.D.H. Pilkington, P.F. Scott, R.A. Collins, Observation of a rapidly pulsating radio source. Nature 217, 709 (1968)
W. Baade, F. Zwicky, On super-novae. Proc. Nat. Acad. Sci. 20, 254 (1934)
W. Baade, F. Zwicky, Remarks on super-novae and cosmic rays. Phys. Rev. 46, 76 (1934)
T. Gold, Rotating neutron stars as the origin of the pulsating radio sources. Nature 218, 731 (1968)
F. Pacini, Rotating neutron stars, pulsars and supernova remnants. Nature 219, 145 (1968)
S.L. Shapiro, S.A. Teukolsky, Black Holes, White Dwarfs, and Neutron Stars: The Physics of Compact Objects (Wiley, New York, 1983)
P. Cea, P-stars. Int. J. Mod. Phys. D 13, 1917 (2004)
P. Cea, RXJ1856.5-3754 and RXJ0720.4-3125 are P-stars. J. Cosmol. Astropart. Phys. 03, 011 (2004)
P. Cea, Magnetars: structure and evolution from P-star models. Astron. Astrophys. 450, 199 (2006)
P. Cea, Comparing P-stars with observations. Astrophys. J. 674, 1056 (2008)
V. Cardoso, P. Pani, Testing the nature of dark compact objects: a status report. Liv. Rev. Rel. 22, 4 (2019)
K. Akiyama, et al., The event horizon telescope collaboration, first M87 event horizon telescope results. I. The shadow of the supermassive black hole, Astrophys. J. 875 (2019) L1
K. Akiyama, et al., The Event horizon telescope collaboration, first M87 event horizon telescope results. II. Array and instrumentation, Astrophys. J. 875 (2019) L2
K. Akiyama, et al., The Event horizon telescope collaboration, first m87 event horizon telescope results. III. Data processing and calibration, Astrophys. J. 875 (2019) L3
K. Akiyama, et al., The event horizon telescope collaboration, first M87 event horizon telescope results. IV. Imaging the central supermassive black hole, Astrophys. J. 875 (2019) L4
K. Akiyama, et al., The Event horizon telescope collaboration, first M87 event horizon telescope results. V. Physical origin of the asymmetric ring, Astrophys. J. 875 (2019) L5
K. Akiyama, et al., The event horizon telescope collaboration, first M87 Event horizon telescope results. VI. The shadow and mass of the central black hole, Astrophys. J. 875 (2019) L6
P. Cea, L. Cosmai, Abelian chromomagnetic fields and confinement. J. High Energy Phys. 02, 031 (2003)
P. Cea, L. Cosmai, Color dynamics in external fields. J. High Energy Phys. 08, 079 (2005)
P. Cea, L. Cosmai, M. D’Elia, QCD Dynamics in a Constant chromomagnetic field. J. High Energy Phys. 0712, 097 (2007)
M. Tinkham, Introduction to Superconductivity, 2nd edn. (McGraw-Hill Inc., New York, 1996)
R.P. Feynman, The qualitative behavior of Yang-Mills theory in 2 + 1 dimensions. Nucl. Phys. B 188, 479 (1981)
P. Cea, Stability analysis of the nielsen-olesen unstable modes. Phys. Lett. B 193, 268 (1987)
P. Cea, SU(2) Gauge theory in a constant chromomagnetic background field. Phys. Rev. D 37, 1637 (1988)
R.F. Tooper, General relativistic polytropic fluid spheres. Astrophys. J. 140, 434 (1964)
N.K. Glendenning, Compact Stars, Nuclear Physics, Particle Physics and General Relativity, 2nd edn., Astronomy and Astrophysics Library (Springer, Berlin, 2000)
R.C. Tolman, Static solution of Einstein’s field equations for spheres of fluid. Phys. Rev. 55, 364 (1939)
J.R. Oppenheimer, G.M. Volkoff, On massive neutron cores. Phys. Rev. 55, 374 (1939)
J.M. Lattimer, The nuclear equation of state and neutron star masses. Ann. Rev. Nucl. Part. Sci. 62, 485 (2012)
M. Baldo, G.F. Burgio, The nuclear symmetric energy. Prog. Part. Nucl. Phys. 91, 203 (2016)
J.M. Lattimer, M. Prakash, The equation of state of hot, dense matter and neutron stars. Phys. Rep. 621, 127 (2016)
M. Oertel, M. Hempel, T. Klähn, S. Typel, Equation of state for supernovae and compact stars. Rev. Mod. Phys. 89, 015007 (2017)
G. Baym, T. Hatsuda, T. Kojo, P.D. Powell, Y. Song, T. Takatsuka, From hadrons to quarks in neutron stars. Rept. Prog. Phys. 81, 056902 (2018)
P.B. Demorest, T. Pennucci, S.M. Ransom, M.S.E. Roberts, J.W. Hessels, A Two-solar-mass neutron star measured using shapiro delay. Nature 467, 1081 (2010)
J. Antoniadis et al., Pulsar in a compact relativistic binary. Science 340, 123332 (2013)
Z. Arzoumanian et al., The NANOGrav 11-year Data Set: high-precision timing of 45 millisecond pulsars. Astrophys. J. Suppl. 235, 37 (2018)
M. Linares, T. Shahbar, J. Casares, Peering into the Dark side: magnesium lines establish a massive neutron star in PSR J2215+5135. Astrophys. J. 859, 54 (2018)
H.T. Cromartie et al., Relativistic shapiro delay measurements of an extremely massive millisecond pulsar. Nature Astron. 4, 72 (2020)
B.P. Abbott et al., The LIGO scientific and virgo collaborations, GW170817: measurements of neutron star radii and equation of state. Phys. Rev. Lett. 121, 161101 (2018)
B.P. Abbott, et al., The LIGO scientific and virgo collaborations, GW190814: gravitational waves from the coalescence of a 23 solar mass black hole with a 2.6 solar mass compact object, Astrophys. J. Lett. 896 (2020) L44
F. Douchin, P. Haensel, A Unified equation of state of dense matter and neutron star structure. Astron. Astrophys. 380, 151 (2001)
P. Haensel, M. Kutschera, M. Prószyński, Uncertainty in the saturation density of nuclear matter and neutron star models. Astron. Astrophys. 102, 299 (1981)
J.M. Lattimer, M. Prakash, Neutron star structure and the equation of state. Astrophys. J. 550, 426 (2001)
T.E. Riley et al., A NICER View of PSR J0030+0451: millisecond pulsar parameter estimation. Astrophys. J. Lett. 887, L21 (2019)
M.C. Miller et al., PSR J0030+0451 mass and radius from NICER data and implications for the properties of neutron star matter. Astrophys. J. Lett. 887, L24 (2019)
G. Raaijmakers et al., A NICER view of PSR J0030+0451: implication for the dense matter equation of state. Astrophys. J. Lett. 887, L22 (2019)
R. Jong, D. Wen, H. Chen, Univeral behaviour of a compact star based upon the gravitational binding energy. Phys. Rev. D 100, 123010 (2019)
S.E. Woosley, T.A. Weaver, The physics of supernova explosions. Ann. Rev. Astron. Astrophys. 24, 205 (1986)
H.A. Bethe, Nuclear physics needed for the theory of supernovae. Ann. Rev. Nucl. Part. Sci. 38, 1 (1988)
W.D. Arnett, J.N. Bahcall, R.P. Kirshner, S.E. Woosley, Supernova 1987A. Ann. Rev. Astron. Astrophys. 27, 629 (1989)
H.A. Bethe, Supernova mechanisms. Rev. Mod. Phys. 62, 801 (1990)
W.D. Arnett, Supernovae and nucleosynthesis. An investigation of the history of matter, from the big bang to the present (Princeton University Press, Princeton, 1996)
H.-T. Janka, Explosion mechanisms of core-collapse supernovae. Ann. Rev. Nucl. Part. Sci. 62, 407 (2012)
K. Scholberg, Supernova neutrino detection. Ann. Rev. Nucl. Part. Sci. 62, 81 (2012)
K. Kotaka, T. Takiwaki, Y. Suwa, W.I. Nakano, S. Kawagoe, Y. Masada, S.-I. Fujimoto, Multimessengers from core-collapse supernovae: multidimensionality as a key to bridge theory and observation. Adv. Astron. 2012, 428757 (2012)
A. Burrows, Perspectives on core-collapse supernova theory. Rev. Mod. Phys. 85, 245 (2013)
T. Foglizzo et al., The explosion mechanism of core-collapse supernovae: progress in supernova theory and experiments. Publ. Astron. Soc. Austral. 32, e009 (2015)
S.J. Smartt, Observational constraints on the progenitors of core-collapse supernovae: the case for missing high mass stars. Publ. Astron. Soc. Austral. 32, e016 (2015)
A. Mirizzi, I. Tamborra, H.-T. Janka, N. Saviano, K. Scholberg, R. Bollig, L. Hudepohl, S. Chakraborty, Supernova neutrinos: production, oscillation and detection. Riv. Nuovo Cim. 39, 1 (2016)
H.-T. Janka, T. Nelson, A. Summa, Physics of core-collapse supernovae in three dimensions: a sneak preview. Ann. Rev. Nucl. Part. Sci. 66, 341 (2016)
B. Müller, The status of multi-dimensional core-collapse supernova models. Publ. Astron. Soc. Austral. 33, e048 (2016)
D. Andrew Howell, Superluminous Supernovae, in: Handbook of Supernovae, A. W. Alsabti and P. Murdin Editors, Springer, Berlin, 2017, pp. 431
T.J. Moriya, E.I. Sorokina, R.A. Chevalier, Superluminous supernovae. Space Sci. Rev. 214, (2018)
A. Gal-Yam, The most luminous supernovae. Ann. Rev. Astron. Astrophys. 57, 305 (2019)
B.P. Abbott et al., The LIGO scientific and virgo collaborations, properties of the binary neutron star merger. Phys. Rev. X 9, 011001 (2019)
E.E. Flanagan, T. Hinderer, Constraining Neutron-star tidal love numbers with gravitational-wave detectors. Phys. Rev. D 77, 021502 (2008)
T. Hinderer, Tidal love numbers of neutron stars. Astrophys. J. 677, 1216 (2008)
T. Hinderer, Erratum: tidal love numbers of neutron stars. Astrophys. J. 697, 679 (2009)
K.S. Thorne, Tidal stabilization of rigidly rotating, fully relativistic neutron stars. Phys. Rev. D 58, 124031 (1998)
A.E.H. Love, The yielding of the earth to disturbing forces. Proc. R. Soc. A 82, 73 (1909)
T. Hinderer, B.D. Lackey, R.N. Lang, J.S. Read, Tidal deformability of neutron stars with realistic equations of sate and their gravitational wave signatures in binary inspiral. Phys. Rev. D 81, 123016 (2010)
S. Postnikov, M. Prakashand, J.M. Lattimer, Tidal love numbers of neutron and self-bound quark stars, binary inspiral. Phys. Rev. D 82, 024016 (2010)
S. De, D. Finstad, J.M. Lattimer, D.A. Brown, E. Berger, C.M. Biwer, Tidal deformabilities and radii of neutron stars from observation of GW170817. Phys. Rev. Lett. 127, 091102 (2018)
D. Radice, L. Dai, Multimessenger parameter estimation of GW170817. Eur. Phys. J. A 55, 50 (2019)
B. Biswas, P. Char, R. Nandi, S. Bose, Hint of a Tension Between Nuclear Physics and Astrophysical Observations, LIGO Preprint number LIGO-P2000221, arXiv:2008.01582 [astro-ph.HE] (2020)
F. Özel, P. Freire, Masses, Radii and the equation of state of neutron stars. Ann. Rev. Astron. Astrophys. 54, 401 (2016)
L. Wasserman, S.L. Shapiro, Masses and Radii, and magnetic fields of pulsating x-ray sources: Is the “standard” model self-consistent? Astrophys. J. 265, 1036 (1983)
A.P. Reynolds, H. Quaintrell, M.D. Still, P. Roche, D. Chakrabarty, S.E. Levin, A new mass estimate for hercules X-1. Mon. Not. R. Astron. Soc. 288, 43 (1997)
A.P. Reynolds, P. Roche, H. Quaintrell, Is Her X-1 Really strange? Astron Astrophys. 317, L25 (1997)
S. Bogdanov, C.D. Heinke, F. Özel, T. Güver, Neutron star mass-radius constraints of the quiescent low-mass X-Ray binaries X7 and X5 in the globular cluster 47 TUC. Astrophys. J. 831, 184 (2016)
T. Güver and F. Özel, The mass and Radius of the Neutron Star in the Transient Low Mass X-Ray Binary SAX J1748.9-2021, Astrophys. J. Lett. 765 (2013) L1
A. Drago, M. Moretti, G. Pagliara, The equation of state of dense matter: stiff, soft, or both? Astronomische Nachrichten 340, 189 (2019)
D. Lazzati, Short duration gamma-ray burst and their outflows in light of GW170817, arXiv:2009.01773 [astro-ph.HE] (2020)
E. Berger, Short-duration gamma-ray bursts. Ann. Rev. Astron. Astrophys. 52, 43 (2014)
P. D’Avanzo, Short gamma-ray bursts: a review. J. High Energy Astrophys. 7, 73 (2015)
S. Rosswog, The multi-messenger picture of compact binary mergers. Int. J. Mod. Phys. D 24, 1530012 (2015)
Z. Dai, F. Daigue, P. Meszaros, The theory of gamma-ray bursts. Space Sci. Rev. 212, 409 (2017)
K.P. Mooley, A.T. Deller, O. Gottlieb, E. Nakar, G. Hallinan, S. Bourke, D.A. Frail, A. Horesh, A. Corsi, K. Hotokezaka, Superluminal motion of a relativistic jet in the neutron star merger GW170817. Nature 561, 355 (2018)
L.-X. Li, B. Paczynski, Transient events from neutron star mergers. Astrophys. J. Lett. 507, L59 (1998)
M. Tanaka, Kilonova/Macronova emission from compact binary mergers, Adv. Astr., vol. 2016, 6341974
Yu. Yun-wei, Review of Kilonova (Mergernova) Researchestwo. Chin. Astr. Astrophys. 43, 178 (2019)
B.D. Metzger, Kilonovae. Liv. Rev. Rel. 23, 1 (2020)
A. Bauswein, S. Goriely, H.-T. Janka, Systematics of dynamical mass ejection, nucleosynthesis, and radioactively powered electromagnetic signals from neutron-star mergers. Astrophys. J. 773, 78 (2013)
R. Ciolfi, The key role of magnetic fields in binary neutron star mergers. Gen. Rel. Grav. 52, 59 (2020)
R. Ciolfi, Binary neutron star mergers after GW170817. Frontiers Astron. Space Sci. 7, 27 (2020)
R.J. Fries, V. Greco, P. Sorensen, Coalesce models for hadron formation from quark gluon plasma. Ann. Rev. Nucl. Part. Sci. 58, 177 (2008)
T.W. Baumgarte, S.L. Shapiro, Numerical Relativity, Solving Einstein’s Equations on the Computer (Cambridge University Press, Cambridge, 2010)
M. Shibata, Numerical Relativity (Word Scientific Publishing, Singapore, 2016)
E. Berti, V. Cardoso, A.O. Starinets, Quasinormal modes of black holes and black branes. Class. Quant. Grav. 26, 163001 (2009)
M. Maggiore, Gravitational Waves, Volume 1, Theory and Experiments (Oxford University Press, Oxford, 2008)
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Cea, P. P-stars in the gravitational wave era. Eur. Phys. J. Plus 135, 891 (2020). https://doi.org/10.1140/epjp/s13360-020-00911-w
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DOI: https://doi.org/10.1140/epjp/s13360-020-00911-w