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://ucrisportal.univie.ac.at/en/publications/bounds-on-area-and-charge-for-marginally-trapped-surfaces-with-a-cosmological-constant(c2b3063b-821d-4610-8226-a2defd91430d).html