Static and spherically symmetric black holes in $f(R)$ theories

Abstract

We study some features of static and spherically symmetric solutions (SSS) with a horizon in $f(R)$ theories of gravitation by means of a near-horizon analysis. A necessary condition for an $f(R)$ theory to have this type of solution is obtained. General features of the effective potential are deduced, and it is shown that there exists a limit on the curvature at the horizon, in both cases for any $f(R$). Finally, we calculate the expression for the energy of the collision of two masive particles in the center of mass frame.

References in corpus (13)

• Relativistic images of Schwarzschild black hole lensing
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Spherical symmetry in $f(R)$-gravity
• Static Spherically Symmetric Solutions in F(R) Gravity
• Kerr Black Holes are Not Unique to General Relativity
• Spherically symmetric spacetimes in f(R) gravity theories
• Static Solutions for 4th order gravity
• Stability of f(R) black holes
• Dark matter annihilation in the gravitational field of a black hole
• Weak-field limit of f(R)-gravity in three and more spatial dimensions
• Testing General Relativity with High-Resolution Imaging of Sgr A*
• On the stability of spherically symmetric spacetimes in metric f(R) gravity

Cited by in corpus (30)

• f(T) teleparallel gravity and cosmology
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Collapsing spherical stars in f(R) gravity
• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• Accretion disks around black holes in modified strong gravity
• Spherically symmetric black holes in $f(R)$ gravity: Is geometric scalar hair supported ?
• Non-trivial black hole solutions in $f(R)$ gravitational theory
• Buchdahl-Bondi limit in modified gravity: Packing extra effective mass in relativistic compact stars
• Solutions for f(R) gravity coupled with electromagnetic field
• Necessary conditions for having wormholes in f(R) gravity
• Generation of spherically symmetric metrics in $f\left(R\right)$ gravity
• Features and stability analysis of non-Schwarzschild black hole in quadratic gravity
• A no-hair theorem for spherically symmetric black holes in $R^2$ gravity
• Radiating Kerr-Newman black hole in $f(R)$ gravity
• Exact solutions in f(R) theory of gravity
• Stability of a Class of Non-Static Axial Self-Gravitating Systems in $f(R)$ Gravity
• Rotating black hole in $f(R)$ theory
• Accretion disks around a static black hole in $f(R)$ gravity
• Stability of Schwarzschild-$f(R)$ gravity thin-shell wormholes
• Particle Acceleration by Static Black Holes in a Model of $f(R)$ Gravity
• Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation
• Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation
• Black Holes with Electric and Magnetic Charges in $F(R)$ Gravity
• Infinitely degenerate exact Ricci-flat solutions in f(R) gravity
• Topological electro-vacuum solutions in extended gravity
• On static and spherically symmetric solutions of Starobinsky model
• New proper tetrad for teleparallel gravities in non-flat spacetime
• Existence of Reissner-Nordstrom type black holes in f(R) gravity
• Comment on "Static and spherically symmetric black holes in f(R) theories"
• Charged spherically symmetric Taub-NUT black hole solutions in $f(R)$ gravity