Spherically symmetric solutions of Einstein-Maxwell theory with a Gauss-Bonnet term |
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| Affiliation: | 1. Sciences Faculty, Department of Physics, University of Mazandaran, P. O. Box 47415-416, Babolsar, Iran;2. ICRANet-Mazandaran, University of Mazandaran, P. O. Box 47415-416, Babolsar, Iran;3. ICRANet, Piazza della Repubblica 10, I-65122 Pescara, Italy;1. Higgs Centre, University of Edinburgh, JCMB, KB, Mayfield Rd, Edinburgh EH9 3JZ, Scotland, United Kingdom;2. Dipartimento di Fisica, Università di Milano and INFN, Sezione di Milano, Via Celoria 16, I-20133 Milano, Italy;3. Dipartimento di Fisica, Università di Genova and INFN, Sezione di Genova, Genova, Italy;4. PH Department, TH Unit, CERN, CH-1211 Geneva 23, Switzerland;5. Rudolf Peierls Centre for Theoretical Physics, 1 Keble Road, University of Oxford, OX1 3NP Oxford, United Kingdom |
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| Abstract: | The low energy expansion of supersymmetric string theory suggests that the leading correction to the Einstein action is given by the Gauss-Bonnet invariant. A generalisation of Birkhoff's theorem in the case of Einstein-Maxwell theory modified by a Gauss-Bonnet term is proved. The only spherically symmetric solutions of the theory are shown to be generalisations of the Reissner-Nordstrom and Robinson-Bertotti solutions. The “Reissner-Nordstrom” solutions have asymptotically flat and asymptotically anti-de Sitter branches, however, the latter are unstable. |
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