Static Spherically Symmetric Solution of (R +- μ^4/R) Gravity

Abstract

The static spherically symmetric solution for (R +- μ^4/R) model of f(R)gravity is investigated. We obtain the metric for space-time in the solar system that reduces to the Schwarzschild metric, when μ tends to zero. For the obtained metric, the deviation from Einstein gravity is very small. This result is different from the other results have been obtained by equivalence between f(R) gravity and scalar tensor theory. Also it is shown that the vacuum solution in the solar system depends on the shape of matter distribution which differ from the Einstein's gravity.

References in corpus (17)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Modified f(R) gravity consistent with realistic cosmology: from matter dominated epoch to dark energy universe
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Conditions for the cosmological viability of f(R) dark energy models
• Are f(R) dark energy models cosmologically viable ?
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Constraining f(R) Gravity as a Scalar Tensor Theory
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Solar System constraints to general f(R) gravity
• Solar system and equivalence principle constraints on f(R) gravity by chameleon approach
• Matter instability in modified gravity
• Solar System tests DO rule out 1/R gravity
• Stability of Cosmological Solution in f(R) Models of Gravity
• Spherical symmetry in $f(R)$-gravity
• Solar system effects in Schwarzschild--de Sitter spacetime
• The Newtonian limit of metric gravity theories with quadratic Lagrangians
• Standard Cosmological Evolution in a Wide Range of f(R) Models

Cited by in corpus (9)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Ghost dark energy in $f(R)$ model of gravity
• Holographic Dark Energy Like in $f(R)$ Gravity
• Anisotropy effects on Baryogenesis in $f(R)$-Theories of Gravity
• Strong and weak gravitational field in $R+{\mu }^4/R$ gravity
• Gravitational Collapse in Repulsive $R+{\mu }^4/R$ Gravity
• Resembling holographic dark energy with f(R)gravity as scalar field and ghost dark energy with tachyon scalar fields
• Surface configuration in $R+{\mu }^4/R$ gravity
• Revised spherically symmetric solutions of $R+\epsilon /R$ gravity