Transferring energy in general relativity
Abstract
A problem in general relativity is, how the gravitational field can transfer energy and momentum between different distant places. The issue is that matter stress tensor is locally conserved, with no explicit interaction with the free gravitational field, which is represented by the Weyl tensor. In this paper we explicitly construct an interaction tensor for free gravity and matter, that depicts the interplay between the energy momentum tensor of free gravity, which is taken to be the symmetric two index square root of BelRobinson tensor, and matter. This is examined both in the case of Coulomblike Petrov type D spacetimes and radiation like Petrov type N spacetimes, where a unique square root exists. The first case generalises the and thought experiment regarding gravitational induction in Newtonian gravity to general relativistic scenarios, and the second gives a proposal for how gravitational radiation can transfer energy and momentum between distant objects separated by a vacuum.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 August 2018
 DOI:
 10.1088/13616382/aad0ad
 arXiv:
 arXiv:1805.00927
 Bibcode:
 2018CQGra..35p5007G
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 Small changes, Several references added, importance of reference [19] highlighted