Journal
PHYSICS LETTERS B
Volume 816, Issue -, Pages -Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2021.136220
Keywords
Exact gravitational wave; Non perturbative phenomenon
Funding
- Shandong Province Natural Science Foundation [ZR201709220395]
- National Key Research and Development Program of China [2020YFC2201400]
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This study shows that a deviation from general relativity leads to exact vacuum spherical gravitational waves, regardless of how tiny this deviation is, and that the existence of these waves is a non-perturbative property of gravities. The research also investigates the energy carried by these non-perturbative waves and demonstrates the related metrics in f(R) gravity.
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. (C) 2021 The Author(s). Published by Elsevier B.V.
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