Extra dimensions’ influence on the equilibrium and radial stability of strange quark stars

José D. V. Arbañil, Geanderson A. Carvalho, Ronaldo V. Lobato, Rubens M. Marinho, Jr., and Manuel Malheiro
Phys. Rev. D 100, 024035 – Published 17 July 2019

Abstract

We analyze the influence of extra dimensions on the static equilibrium configurations and stability against radial perturbations. For this purpose, we solve stellar structure equations and radial perturbation equations, both modified for a d-dimensional spacetime (d4) considering that spacetime outside the object is described by a Schwarzschild-Tangherlini metric. These equations are integrated considering a MIT bag model equation of state extended for d4. We show that the spacetime dimension influences both the structure and the stability of compact objects. For an interval of central energy densities ρcdGd and total masses MGd/(d3), we show that the stars gain more stability when the dimension is increased. In addition, the maximum value of MGd/(d3) and the zero eigenfrequency of oscillation are found with the same value of ρcdGd; i.e., the peak value of MGd/(d3) marks the onset of instability. This indicates that the necessary and sufficient conditions to recognize regions constructed by stable and unstable equilibrium configurations against radial perturbations are, respectively, dM/dρcd>0 and dM/dρcd<0. We obtain that some physical parameter of the compact object in a d-dimensional spacetime, such as the radius and the mass, depend of the normalization. Finally, within the Newtonian framework, the results show that compact objects with adiabatic index Γ12(d2)/(d1) are stable against small radial perturbations.

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  • Received 10 January 2019

DOI:https://doi.org/10.1103/PhysRevD.100.024035

© 2019 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

José D. V. Arbañil1,*, Geanderson A. Carvalho2,3,4,†, Ronaldo V. Lobato2,3,4,‡, Rubens M. Marinho, Jr.2,§, and Manuel Malheiro2,∥

  • 1Departamento de Ciencias, Universidad Privada del Norte, Avenida el Sol 461, San Juan de Lurigancho, 15434 Lima, Peru
  • 2Departamento de Física, Instituto Tecnológico de Aeronáutica, Centro Técnico Aeroespacial, 12228-900 São José dos Campos, 12228900 São Paulo, Brazil
  • 3Dipartimento di Fisica, Sapienza Università di Roma, Piazzale Aldo Moro 5, I-00185 Rome, Italy
  • 4ICRANet, Piazza della Repubblica 10, I-65122 Pescara, Italy

  • *jose.arbanil@upn.pe
  • araujogc@ita.br
  • rvlobato@ita.br
  • §marinho@ita.br
  • malheiro@ita.br

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Vol. 100, Iss. 2 — 15 July 2019

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