Non perturbative spherical gravitational waves

Abstract

It is well-known that there is no spherical/topologically spherical gravitational waves in vacuum space in general relativity. We show that a deviation from general relativity leads to exact vacuum spherical gravitational waves, no matter how tiny this deviation is. We also discuss the related topics, including Vaidya-like metric in $f(R)$ gravity. We demonstrate that the existence of spherical gravitational wave is a non perturbative property for gravities. We investigate energy carried by this nonperturbative wave. We first find the wave solution from investigations of Vaidya-like metric in $f(R)$ gravity, which has only one longitude polarization. We further extend it to a metric with two transverse polarizations by directly solving the field equation.

arXiv comment11 pages; references added

References in corpus (21)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Exploring the Sensitivity of Next Generation Gravitational Wave Detectors
• Sensitivity Studies for Third-Generation Gravitational Wave Observatories
• Observational signatures of f(R) dark energy models that satisfy cosmological and local gravity constraints
• The Power of General Relativity
• Dark matter as a geometric effect in f(R) gravity
• Generalized Misner-Sharp Energy in f(R) Gravity
• Generation of spherically symmetric metrics in $f\left(R\right)$ gravity
• Misner-Sharp Mass and the Unified First Law in Massive Gravity
• Misner-Sharp Mass in $N$-dimensional $f(R)$ Gravity
• Generalized Vaidya Solutions and Misner-Sharp mass for $n$-dimensional massive gravity
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Schwarzschild solution as a result of thermodynamics
• Black holes and gravitational waves in three-dimensional f(R) gravity
• The global monopole spacetime and its topological charge
• From thermodynamics to the solutions in gravity theory
• A modified thermodynamics method to generate exact solutions of the Einstein equations
• Quasilocal Smarr relations for static black holes
• Thermodynamic motivations of spherically symmetric static metrics

Cited by in corpus (4)

• Novel black holes in higher derivative gravity
• Spherical gravitational waves and quasi-spherical waves scattered from black string in massive gravity
• Black Holes and Non-perturbative Gravitational Waves in $f(R)$ Gravity
• Interaction of exact gravitational waves with matter