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Symmetric Solutions to the Maximally Gauss-Bonnet Extended EinsteinEquations
Nuclear Physics B (1986)
  • James Thomas Wheeler, Utah State University
The most general gravitational lagrangian which can be constructed from the curvature two-form, the vielbein one-form, and tensors invariant in the tangent space is a linear combination of dimensionally extended Euler characteristics. Several recent studies indicate that superstring lagrangians include such terms. In an arbitrary number of dimensions, with arbitrary torsion, we show that in the most general such extended theory the only static, spherically symmetric, massive solutions to the variational equations of motion contain gravitational singularities. The existence of an event horizon is proved for certain cases, and a bound on the location of singularities is found. A certain class of non-asymptotically flat solutions is found for which the metric and the torsion are not entirely determined by the field equations.
  • gravitational lagrangian,
  • Gauss-Bonnet extended Einstein equations
Publication Date
September 1, 1986
Publisher Statement
Published by Elsevier in Nuclear Physics B. Author preprint is deposited in KEK Information Service System and is available for download through link above.
Citation Information
James T. Wheeler, Symmetric solutions to the maximally Gauss-Bonnet extended Einstein equations, Nuclear Physics B, Volume 273, Issues 3-4, 1 September 1986, Pages 732-748, ISSN 0550-3213, 10.1016/0550-3213(86)90388-3.