Surface configuration in $R+{\mu }^4/R$ gravity

Abstract

We investigate the conditions on the additional constant $\mu$ in the so-called $R+{\mu }^4/R$ theory of gravity, due to existence of different kinds of space-like surfaces in both weak field and strong field limits, and their possible correspondence to black hole event horizons. Adopting a Schwarzschild limit, we probe the behaviour of $\mu$ in different contexts of radial and radial-rotational congruence of null geodesics. We show that these cases serve as correspondents to black hole horizons in some peculiar cases of study.

10 pages, 9 figures

References in corpus (16)

• Extra force in $f(R)$ modified theories of gravity
• Extended Theories of Gravity and their Cosmological and Astrophysical Applications
• Are f(R) dark energy models cosmologically viable ?
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Solar System constraints to general f(R) gravity
• Black Holes in f(R) theories
• Stability of Cosmological Solution in f(R) Models of Gravity
• The Lagrangian description of perfect fluids and modified gravity with an extra force
• Do f(R) theories matter?
• Power-laws f(R) theories are cosmologically unacceptable
• New theoretical approaches to black holes
• Black holes and black hole thermodynamics without event horizons
• Stability of f(R) black holes
• Black holes in modified gravity theories
• Static Spherically Symmetric Solution of (R +- μ^4/R) Gravity
• Strong and weak gravitational field in $R+{\mu }^4/R$ gravity

Cited by in corpus (1)

• Gravitational Collapse in Repulsive $R+{\mu }^4/R$ Gravity