Spherically Symmetric Solutions of Einstein-maxwell Theory With a {Gauss-Bonnet} Term

Dec, 1985
5 pages
Published in:
  • Phys.Lett.B 169 (1986) 36-40
  • Published: 1986
Report number:
  • Print-86-0327 (CAMBRIDGE)

Citations per year

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Abstract: (Elsevier)
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.
  • general relativity
  • FIELD THEORY: ACTION
  • Einstein-Maxwell equation
  • FIELD EQUATIONS: SOLUTION
  • SYMMETRY: rotation
  • FIELD THEORY: HIGHER-DIMENSIONAL
  • NUMERICAL CALCULATIONS