The gravitoelectromagnetic stress-energy tensor
B. Mashhoon, J.C. McClune, and H. Quevedo
TL;DR
This paper investigates a pseudo-local gravitoelectromagnetic stress-energy tensor in general relativity, demonstrating a gravitational energy current around rotating masses and evaluating the gravitoelectromagnetic flux in Kerr spacetime.
Contribution
It introduces and analyzes a pseudo-local gravitoelectromagnetic stress-energy tensor for arbitrary gravitational fields in general relativity.
Findings
Existence of a gravitational energy current around rotating masses
Evaluation of gravitoelectromagnetic flux in Kerr spacetime for specific observers
Identification of a gravitational analog to the Poynting flux
Abstract
We study the pseudo-local gravitoelectromagnetic stress-energy tensor for an arbitrary gravitational field within the framework of general relativity. It is shown that there exists a current of gravitational energy around a rotating mass. This gravitational analog of the Poynting flux is evaluated for certain classes of observers in the Kerr field.
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