A quasi-local Penrose inequality for the quasi-local energy with static references
| Autor: | Po-Ning Chen |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Mathematics - Differential Geometry
Static spacetime Conjecture General relativity Applied Mathematics General Mathematics Cosmic censorship hypothesis 010102 general mathematics FOS: Physical sciences General Relativity and Quantum Cosmology (gr-qc) 01 natural sciences General Relativity and Quantum Cosmology Manifold Differential Geometry (math.DG) FOS: Mathematics Energy condition 0101 mathematics Schwarzschild radius Mathematical physics Asymptotically flat spacetime Mathematics |
| Zdroj: | Transactions of the American Mathematical Society. 373:8611-8636 |
| ISSN: | 1088-6850 0002-9947 |
| DOI: | 10.1090/tran/8158 |
| Popis: | The positive mass theorem is one of the fundamental results in general relativity. It states that, assuming the dominant energy condition, the total mass of an asymptotically flat spacetime is non-negative. The Penrose inequality provides a lower bound on mass by the area of the black hole and is closely related to the cosmic censorship conjecture in general relativity. In [14], Lu and Miao proved a quasi-local Penrose inequality for the quasi-local energy with reference in the Schwarzschild manifold. In this article, we prove a quasi-local Penrose inequality for the quasi-local energy with reference in any spherically symmetric static spacetime. Comment: 23 pages |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|