Rindler type acceleration in f(R) gravity

Abstract

By choosing a fluid source in $f(R)$ gravity, defined by $f\left(R\right) =R-12aξ\ln \left\ | R\right\ | $, where $a$ (=Rindler acceleration) and $\xi$ are both constants, the field equations correctly yield the Rindler acceleration term in the metric. We identify domains in which the weak energy conditions (WEC) and the strong energy conditions (SEC) are satisfied.

3 pages, 1 figure, after minor revision, to be published in Modern Physics Letters A

References in corpus (4)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Model for gravity at large distances
• Solar system constraints on Rindler acceleration
• The thermodynamic quantities of a black hole with an $f(R)$ global monopole

Cited by in corpus (5)

• Rindler Modified Schwarzschild Geodesics
• Leading-order corrections to the thermodynamics of Rindler modified Schwarzschild black hole
• Entropic force law in the presence of a noncommutative inspired spacetime for a solar system scale
• Decoherence limit of quantum systems obeying generalized uncertainty principle: new paradigm for Tsallis thermostatistics
• A scan of f(R) models admitting Rindler type acceleration