Positivity of energy and stationary solutions in general relativity
✍ Scribed by Niall ÓMurchadha
- Publisher
- Elsevier Science
- Year
- 1977
- Tongue
- English
- Weight
- 191 KB
- Volume
- 60
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
## Abstract We continue our study, begun in [7], into the stationary axisymmetric solutions of the Einstein vacuum equations containing two (or more) black holes. This problem reduces to an elliptic system of nonlinear partial differential equations with prescribed blow‐up as boundary conditions. W
Assuming the four-dimensional space-time to be a general warped product of two surfaces we reduce the four-dimensional Einstein equations to a two-dimensional problem which can be solved. All global vacuum solutions are explicitly constructed and analysed. The classification of the solutions include
The energy localization hypothesis of the author that energy is localized in non-vanishing regions of the energy-momentum tensor implies that gravitational waves do not carry energy in vacuum. If substantiated, this has significant implications for current research, for the rationale to quantize the