2014arXiv (Cornell University)Open access

Compact statis stars with polytropic equation of state in minimal\n dilatonic gravity

Plamen Fiziev, K. Marinov

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Abstract

We present solution of the equations for relativistic static spherically\nsymmetric stars (SSSS) in the model of minimal dilatonic gravity (MDG) using\nthe polytropic equation of state. A polytropic equation of state, which has a\ngood fitting with a more realistic one, is used. Results are obtained for all\nvariables of a single neutron star in the model of MDG. The maximum mass about\ntwo solar masses is in accordance with the latest observations of pulsars.\nSeveral new effects are observed for the variables related with the dilaton\n$\\Phi$ and the cosmological constant $\\Lambda$. The mass-radius relation is\nalso obtained. Special attention is paid to the behavior of the quantities\nwhich describe the effects analogous to those of dark energy and dark matter in\nMDG. The results of the present paper confirm the conclusion that the dilaton\n$\\Phi$ is able to play simultaneously the role of dark energy and dark matter.\n

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We present solution of the equations for relativistic static spherically\nsymmetric stars (SSSS) in the model of minimal dilatonic gravity (MDG) using\nthe polytropic equation of state. A polytropic equation of state, which has a\ngood fitting with a more realistic one, is used. Results are obtained for all\nvariables of a single neutron star in the model of MDG. The maximum mass about\ntwo solar masses is in accordance with the latest observations of pulsars.\nSeveral new effects are observed for the variables related with the dilaton\n$\\Phi$ and the cosmological constant $\\Lambda$. The mass-radius relation is\nalso obtained. Special attention is paid to the behavior of the quantities\nwhich describe the effects analogous to those of dark energy and dark matter in\nMDG. The results of the present paper confirm the conclusion that the dilaton\n$\\Phi$ is able to play simultaneously the role of dark energy and dark matter.\n

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Available abstract

We present solution of the equations for relativistic static spherically\nsymmetric stars (SSSS) in the model of minimal dilatonic gravity (MDG) using\nthe polytropic equation of state. A polytropic equation of state, which has a\ngood fitting with a more realistic one, is used. Results are obtained for all\nvariables of a single neutron star in the model of MDG. The maximum mass about\ntwo solar masses is in accordance with the latest observations of pulsars.\nSeveral new effects are observed for the variables related with the dilaton\n$\\Phi$ and the cosmological constant $\\Lambda$. The mass-radius relation is\nalso obtained. Special attention is paid to the behavior of the quantities\nwhich describe the effects analogous to those of dark energy and dark matter in\nMDG. The results of the present paper confirm the conclusion that the dilaton\n$\\Phi$ is able to play simultaneously the role of dark energy and dark matter.\n

Key concepts: Polytropic process, Physics, Equation of state, Dilaton, Neutron star, Dark energy, Stars, Mathematical physics

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