Bounds on M/R for Charged Objects with positive Cosmological constant

Details Bounds on M/R for Charged Objects with positive Cosmological constant Bounds on M/R for Charged Objects with positive Cosmological constant

2012-01-27

arxiv.org/abs/1201.5725v2

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages. Revised version to appear in Class. Quant. Grav

Scientific paper

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 $p+2p_{\perp}\leq \rho,$ where $p\geq 0$ and $p_{\perp}$ are the radial and tangential pressures respectively, $\rho\geq 0$ is the energy density, and for which $0\leq \frac{q^2}{r^2}+\Lambda r^2\leq 1,$ the inequality $\frac{m_g}{r} \leq 2/9+\frac{q^2}{3r^2}-\frac{\Lambda r^2}{3}+2/9\sqrt{1+\frac{3q^2}{r^2}+3\Lambda r^2}$ holds. We also investigate the issue of sharpness, and we show that the inequality is sharp in a few cases but generally this question is open.

Affiliated with

Also associated with

No associations

Rating

Bounds on M/R for Charged Objects with positive Cosmological constant does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bounds on M/R for Charged Objects with positive Cosmological constant, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounds on M/R for Charged Objects with positive Cosmological constant will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-344491