Brown-York energy in stationary spacetimes
Abstract
One usually defines the Brown-York energy for a 2-surface embedded in a space-like 3-slice as an integration of the mean curvature of the 2-surface isometrically embedded into the 3-slice, with a proper reference 3-space. We demonstrate that this naive definition is ill for stationary spacetimes. As an example, we investigate the Kerr-Newman spacetime in detail. We show that the naive definition of the Brown-York energy is not a component of the Brown-York boundary stress tensor, and thus deviates from the original idea of Brown and York. Furthermore, we present the exact form of the Brown-York energy for the Kerr-Newman spacetime with proper reference.
- Publication:
-
Modern Physics Letters A
- Pub Date:
- July 2020
- DOI:
- 10.1142/S0217732320501825
- arXiv:
- arXiv:2006.05309
- Bibcode:
- 2020MPLA...3550182Z
- Keywords:
-
- Brown–York energy;
- stationary spacetimes;
- 04.20.-q;
- 04.70.-s;
- Classical general relativity;
- Physics of black holes;
- General Relativity and Quantum Cosmology;
- High Energy Physics - Theory
- E-Print:
- 14 pages