Bounds on area and charge for marginally trapped surfaces with a cosmological constant
- Author(s)
- Walter Simon
- Abstract
We sharpen the known inequalities A Lambda = 4 pi Q(2) (Dain et al 2012 Class. Quantum Grav. 29 035013) between the area A and the electric charge Q of a stable marginally outer-trapped surface (MOTS) of genus g in the presence of a cosmological constant Lambda. In particular, instead of requiring stability we include the principal eigenvalue lambda of the stability operator. For Lambda* = Lambda + lambda > 0, we obtain a lower and an upper bound for Lambda*A in terms of Lambda*Q(2), as well as the upper bound Q = 0. For Lambda* <0, there only remains a lower bound on A. In the spherically symmetric, static, stable case, one of our area inequalities is saturated iff the surface gravity vanishes. We also discuss implications of our inequalities for 'jumps' and mergers of charged MOTS.
- Organisation(s)
- Gravitational Physics
- Journal
- Classical and Quantum Gravity
- Volume
- 29
- No. of pages
- 5
- ISSN
- 0264-9381
- DOI
- https://doi.org/10.1088/0264-9381/29/6/062001
- Publication date
- 2012
- Peer reviewed
- Yes
- Austrian Fields of Science 2012
- 103004 Astrophysics, 103028 Theory of relativity
- Portal url
- https://ucris.univie.ac.at/portal/en/publications/bounds-on-area-and-charge-for-marginally-trapped-surfaces-with-a-cosmological-constant(c2b3063b-821d-4610-8226-a2defd91430d).html