Black Holes and Non-perturbative Gravitational Waves in $f(R)$ Gravity

Abstract

Exact solutions of spherically symmetric black hole and gravitational wave are explored in $f(R)$ gravity in arbitrary dimension. We find two exact solutions for the radiation and absorption of null dust. In the framework of general relativity, the Birkhoff theorem strictly forbids the existence of spherical gravitational waves in vacuum space. We find spherical non-perturbative gravitational waves, which are shear-free, twist-free, but expanding.

arXiv comment13 pages

References in corpus (40)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Planck 2015 results. XIII. Cosmological parameters
• f(R) Theories Of Gravity
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Extended Theories of Gravity
• Tests of general relativity with GW150914
• Disappearing cosmological constant in f(R) gravity
• Gauss-Bonnet Black Holes in AdS Spaces
• Class of viable modified $f(R)$ gravities describing inflation and the onset of accelerated expansion
• Kerr black holes with scalar hair
• Unifying inflation with LambdaCDM epoch in modified f(R) gravity consistent with Solar System tests
• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Black holes in scalar-tensor gravity
• 1/R Curvature Corrections as the Source of the Cosmological Acceleration
• Spherically symmetric solutions of modified field equations in f(R) theories of gravity
• The Power of General Relativity
• Concepts and status of Chinese space gravitational wave detection projects
• Spherically symmetric solutions in f(R)-gravity via Noether Symmetry Approach
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• FRW Cosmology in F(R,T) gravity
• Spherical symmetry in $f(R)$-gravity
• Static Spherically Symmetric Solutions in F(R) Gravity
• Kretschmann Scalar for a Kerr-Newman Black Hole
• Exact solutions of f(R) gravity coupled to nonlinear electrodynamics
• 6+1 lessons from f(R) gravity
• Cosmological dynamics in f(R) gravity
• Spherically symmetric vacuum solutions of modified gravity theory in higher dimensions
• Some static spherically symmetric interior solutions of $f(R)$ gravity
• Ghost free massive gravity with singular reference metrics
• Misner-Sharp Mass in $N$-dimensional $f(R)$ Gravity
• Solar system tests of f(R) gravity
• Generalized Vaidya Solutions and Misner-Sharp mass for $n$-dimensional massive gravity
• First Principle Study of Gravitational Pressure and Thermodynamics of FRW Universe
• Black holes and gravitational waves in three-dimensional f(R) gravity
• Novel black holes in higher derivative gravity
• From thermodynamics to the solutions in gravity theory
• Non perturbative spherical gravitational waves
• Sky localization of space-based detectors with time-delay interferometry

Cited by in corpus (1)

• Interaction of exact gravitational waves with matter