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Bounds on M/R for c...
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Andreasson, Håkan,1966Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
(author)
Bounds on M/R for charged objects with positive cosmological constant
- Article/chapterEnglish2012
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2012-04-12
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IOP Publishing,2012
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LIBRIS-ID:oai:gup.ub.gu.se/157903
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https://gup.ub.gu.se/publication/157903URI
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https://doi.org/10.1088/0264-9381/29/9/095012DOI
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https://research.chalmers.se/publication/157903URI
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Subject category:art swepub-publicationtype
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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.
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Bohmer, C. G.University College London (UCL)
(author)
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Mussa, A.University College London (UCL)
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Göteborgs universitetInstitutionen för matematiska vetenskaper, matematik
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In:Classical and Quantum Gravity: IOP Publishing29:90264-93811361-6382
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