Is scalar-tensor gravity consistent with polytropic stellar models?

Abstract

We study the scalar field potential $V(\varphi )$ in the scalar-tensor gravity with self-consistent polytropic stellar configurations. Without choosing a particular potential, we numerically derive the potential inside various stellar objects. We restrict the potential to conform to general relativity or to $f(R)$ gravity inside and require the solution to arrive at SdS vacuum at the surface. The studied objects are required to obtain observationally valid masses and radii corresponding to solar type stars, white dwarfs and neutron stars. We find that the resulting scalar-tensor potential $V(\varphi )$ for the numerically derived polytrope that conforms to general relativity, in each object class, is highly dependent on the matter configuration as well as on the vacuum requirement at the boundary. As a result, every stellar configuration arrives at a potential $V(\varphi )$ that is not consistent with the other stellar class potentials. Therefore, a general potential that conforms to all these polytropic stellar classes could not be found.

arXiv comment6 pages, 2 figures, text revised and some concepts clarified, results unchanged

References in corpus (44)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• f(R) Theories Of Gravity
• f(R) theories
• Cosmological Imprint of an Energy Component with General Equation of State
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• The Case for a Positive Cosmological Lambda-term
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Dark Energy and the Accelerating Universe
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Chameleon Fields: Awaiting Surprises for Tests of Gravity in Space
• The Confrontation between General Relativity and Experiment
• Disappearing cosmological constant in f(R) gravity
• A unified equation of state of dense matter and neutron star structure
• The Nuclear Equation of State and Neutron Star Masses
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• New solar opacities, abundances, helioseismology, and neutrino fluxes
• Do consistent $F(R)$ models mimic General Relativity plus $\Lambda$?
• Avoiding Dark Energy with 1/R Modifications of Gravity
• The Large Scale Structure of f(R) Gravity
• The Neutron Star Mass-Radius Relation and the Equation of State of Dense Matter
• Evading Equivalence Principle Violations, Cosmological and other Experimental Constraints in Scalar Field Theories with a Strong Coupling to Matter
• The conformal frame freedom in theories of gravitation
• f(R) Gravity and Chameleon Theories
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Curing singularities in cosmological evolution of F(R) gravity
• Matter instability in modified gravity
• The (pseudo)issue of the conformal frame revisited
• Testing Gravity Against Early Time Integrated Sachs-Wolfe Effect
• Solar System experiments do not yet veto modified gravity models
• Experimental Tests of General Relativity
• Collapsing spherical stars in f(R) gravity
• Static spherically symmetric perfect fluid solutions in $f(R)$ theories of gravity
• Stability Analysis of Spherically Symmetric Star in Scalar-Tensor Theories of Gravity
• Theory of gravitation theories: a no-progress report
• The Jebsen-Birkhoff theorem in alternative gravity
• Stellar configurations in f(R) theories of gravity
• Schwarzschild and Birkhoff a la Weyl
• Nonlinear stability analysis of the Emden-Fowler equation
• Singular Hypersurfaces in Scalar-Tensor Theories of Gravity
• Stability of Polytropes
• Consistency of $f(R)$ gravity models around solar polytropes

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