Journal
COMMUNICATIONS IN THEORETICAL PHYSICS
Volume 74, Issue 9, Pages -Publisher
IOP Publishing Ltd
DOI: 10.1088/1572-9494/ac84cd
Keywords
Penrose inequality; black holes; ADM mass; energy conditions
Categories
Funding
- National Natural Science Foundation of China [12122513, 12075298, 11821505, 11991052, 12047503, 12005155]
- Key Research Program of the Chinese Academy of Sciences (CAS) [XDPB15]
- CAS Project for Young Scientists in Basic Research [YSBR006]
- Key Research Program of Frontier Sciences of CAS
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We propose a conjecture for the lower bound of ADM mass using the null energy condition. The conjecture is proved in specific scenarios and raises a new challenge for an unsettled question in general relativity.
We give a conjecture on the lower bound of the ADM mass M by using the null energy condition. The conjecture includes a Penrose-like inequality 3M >= kA/(4 pi) + root A/4 pi and the Penrose inequality 2M >= root A/4 pi with A the event horizon area and n the surface gravity. Both the conjecture in the static spherically symmetric case and the Penrose inequality for a dynamical spacetime with spherical symmetry are proved by imposing the null energy condition. We then generalize the conjecture to a general dynamical spacetime. Our results raise a new challenge for the famous unsettled question in general relativity: in what general case can the null energy condition replace other energy conditions to ensure the Penrose inequality?
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