Relativistic stars in f(R) and scalar-tensor theories

Abstract

We study relativistic stars in the context of scalar tensor theories of gravity that try to account for the observed cosmic acceleration and satisfy the local gravity constraints via the chameleon mechanism. More specifically, we consider two types of models: scalar tensor theories with an inverse power law potential and f(R) theories. Using a relaxation algorithm, we construct numerically static relativistic stars, both for constant energy density configurations and for a polytropic equation of state. We can reach a gravitational potential up to $\Phi \sim 0.3$ at the surface of the star, even in f(R) theories with an "unprotected" curvature singularity. However, we find static configurations only if the pressure does not exceed one third of the energy density, except possibly in a limited region of the star (otherwise, one expects tachyonic instabilities to develop). This constraint is satisfied by realistic equations of state for neutron stars.

20 pages, 10 Figs, revtex4; v2. minor corrections and changes; v3: a few changes, matches published version

References in corpus (14)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Neutron Star Observations: Prognosis for Equation of State Constraints
• Disappearing cosmological constant in f(R) gravity
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• Constraining f(R) Gravity as a Scalar Tensor Theory
• f(R) Gravity and Chameleon Theories
• A Singularity Problem with f(R) Dark Energy
• Relativistic stars in f(R) gravity, and absence thereof
• Classifying and avoiding singularities in the alternative gravity dark energy models
• Aspects of cosmological expansion in F(R) gravity models
• The existence of relativistic stars in f(R) gravity
• Spherically symmetric spacetimes in f(R) gravity theories
• Delicate f(R) gravity models with disappearing cosmological constant and observational constraints on the model parameters

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