Bounds on area and charge for marginally trapped surfaces with a cosmological constant

Autor(en)

Walter Simon

Abstrakt

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(en)

Gravitationsphysik

Journal

Classical and Quantum Gravity

Band

29

Anzahl der Seiten

5

ISSN

0264-9381

DOI

https://doi.org/10.1088/0264-9381/29/6/062001

Publikationsdatum

2012

Peer-reviewed

Ja

ÖFOS 2012

103004 Astrophysik, 103028 Relativitätstheorie

Link zum Portal

https://ucrisportal.univie.ac.at/de/publications/c2b3063b-821d-4610-8226-a2defd91430d