Bounds on M/R for charged objects with positive cosmological constant
Journal article, 2012

We consider charged spherically symmetric static solutions of the Einstein-Maxwell equations with a positive cosmological constant Lambda. If r denotes the area radius, m(g) and q the gravitational mass and charge of a sphere with area radius r respectively, we find that for any solution which satisfies the condition p + 2p(perpendicular to) +/- <= rho, where p >= 0 and p(perpendicular to) are the radial and tangential pressures respectively, rho >= 0 is the energy density, and for which 0 <= q(2)/r(2) + Lambda r(2) <= 1, the inequality m(g)/r <= 2/9 + q(2)/3r(2)-Lambda r(2)/3 + 2/9 root 1 + 3q(2)/r(2) + 3 Lambda r(2) holds. We also investigate the issue of sharpness, and we showthat the inequality is sharp in a few cases but generally this question is open.

general-relativistic objects


Håkan Andreasson

University of Gothenburg

Chalmers, Mathematical Sciences, Mathematics

C. G. Bohmer

University College London (UCL)

A. Mussa

University College London (UCL)

Classical and Quantum Gravity

0264-9381 (ISSN)

Vol. 29 9 095012

Subject Categories

Astronomy, Astrophysics and Cosmology



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