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Friedmann Cosmology with Matter Creation in Modified f(R, T) Gravity

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Abstract

The theoretical and observational consequences of thermodynamics of open systems which allow matter creation, are investigated in modified f(R, T) (R is the Ricci scalar and T is the trace of energy-momentum tensor) theory of gravity within the framework of a flat Friedmann-Robertson-Walker line element. The simplest model f(R, T)=R+2f(T) with “gamma-law” equation of state p = (γ−1)ρ is assumed to obtain the exact solution. A power-law expansion model is proposed by considering the natural phenomenological particle creation rate ψ = 3β n H, where β is a pure number of the order of unity, n the particle number density and H is the Hubble parameter. A Big Rip singularity is observed for γ<0 describing phantom cosmology. The accelerated expansion of the Universe is driven by the particle creation. The density parameter shows the negative curvature of the Universe due to particle creation. The entropy increases with the evolution of the Universe. Some kinematics tests such as lookback time, luminosity distance, proper distance, angular diameter versus redshift are discussed in detail to observe the role of particle creation in early and late time evolution of the Universe.

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Acknowledgments

The authors are very thankful to the referees for their constructive comments to improve the quality of the manuscript. The authors would like to thank Prof. T. Harko for helpful discussions.

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  1. Department of Applied Mathematics, Delhi Technological University (Formerly Delhi College of Engineering), Bawana Road, Delhi-, 110 042, India

    Vijay Singh & C. P. Singh

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  1. Vijay Singh
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Singh, V., Singh, C.P. Friedmann Cosmology with Matter Creation in Modified f(R, T) Gravity. Int J Theor Phys 55, 1257–1273 (2016). https://doi.org/10.1007/s10773-015-2767-z

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