scholarly journals Gravitational-wave polarizations in generic linear massive gravity and generic higher-curvature gravity

2021 ◽  
Vol 103 (10) ◽  
Author(s):  
Tomoya Tachinami ◽  
Shinpei Tonosaki ◽  
Yuuiti Sendouda
Keyword(s):  
Gravitational Wave ◽  
Massive Gravity ◽  
Higher Curvature Gravity

scholarly journals Gravitational wave echoes from black holes in massive gravity

2021 ◽  
Vol 103 (2) ◽  
Author(s):  
Ruifeng Dong ◽  
Dejan Stojkovic
Keyword(s):  
Black Holes ◽  
Gravitational Wave ◽  
Massive Gravity

scholarly journals Spherical gravitational waves and quasi-spherical waves scattered from black string in massive gravity

2021 ◽  
Vol 2021 (12) ◽  
Author(s):  
Hongsheng Zhang ◽  
Yang Huang
Keyword(s):  
General Relativity ◽  
Gravitational Wave ◽  
Gravitational Waves ◽  
Wave Solution ◽  
Massive Gravity ◽  
Back Reaction ◽  
Birkhoff Theorem ◽  
Spherical Waves ◽  
Linear Perturbations ◽  
Singular Reference

Abstract Spherical gravitational wave is strictly forbidden in vacuum space in frame of general relativity by the Birkhoff theorem. We prove that spherical gravitational waves do exist in non-linear massive gravity, and find the exact solution with a special singular reference metric. Further more, we find exact gravitational wave solution with a singular string by meticulous studies of familiar equation, in which the horizon becomes non-compact. We analyze the properties of the congruence of graviton rays of these wave solution. We clarify subtle points of dispersion relation, velocity and mass of graviton in massive gravity with linear perturbations. We find that the graviton ray can be null in massive gravity by considering full back reaction of the massive gravitational waves to the metric. We demonstrate that massive gravity has deep and fundamental discrepancy from general relativity, for whatever a tiny mass of the graviton.

scholarly journals Gravitational wave signal from massive gravity

2012 ◽  
Vol 29 (23) ◽  
pp. 235026 ◽  
Author(s):  
A Emir Gümrükçüoğ ◽  
Sachiko Kuroyanagi ◽  
Chunshan Lin ◽  
Shinji Mukohyama ◽  
Norihiro Tanahashi
Keyword(s):  
Gravitational Wave ◽  
Massive Gravity ◽  
Wave Signal

Problems on the Gravitational Wave and the Repulsive Gravitation

2016 ◽  
pp. 4422-4429
Author(s):  
C. Y. Lo
Keyword(s):  
Black Holes ◽  
Gravitational Wave ◽  
Einstein Equation ◽  
Wave Solution ◽  
Dynamic Solution ◽  
Pure Mathematics ◽  
Non Linear

It is exciting that the gravitational wave has been confirmed, according to the announcement of LIGO. This would be the time to fix the Einstein equation for the gravitational wave and the nonexistence of the dynamic solution. As a first step, theorists should improve their pure mathematics on non-linear mathematics and related physical considerations beyond Einstein. Then, it is time to rectify the Einstein equation that has no gravitational wave solution which Einstein has recognized, and no dynamic solution that Einstein failed to see. A problem is that physicists in LIGO did not know their shortcomings. Also, in view of the far distance of the sources, it is very questionable that the physicists can determine they are from black holes. Moreover, since the repulsive gravitation can also generate a gravitational wave, the problem of gravitational wave is actually far more complicated than we have known. A useful feature of the gravitational wave based on repulsive gravitation is that it can be easily generated on earth. Thus this can be a new tool for communication because it can penetrate any medium.

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