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gr-qcNov 21, 2008
6
citations (OpenAlex)
authors
  • M. Jakimowicz
  • J. Tafel
institutions
  • University of Warsaw
arXiv abstractPDF
paper

SO(n + 1) Symmetric Solutions of the Einstein Equations in Higher Dimensions

arXiv:0811.3534 · doi:10.1088/0264-9381/25/17/175002

Abstract

A method of solving the Einstein equations with a scalar field is presented. It is applied to find higher dimensional vacuum metrics invariant under the group SO(n + 1) acting on n-dimensional spheres.

11 pages

References in corpus (14)

  • The Einstein Equations on the 3-Brane World
  • Brane-World Gravity
  • Brane-world gravity
  • Classification of the Weyl Tensor in Higher Dimensions and Applications
  • Vanishing Scalar Invariant Spacetimes in Higher Dimensions
  • Alignment and algebraically special tensors in Lorentzian geometry
  • On Spacetimes with Constant Scalar Invariants
  • Type D Einstein spacetimes in higher dimensions
  • Higher dimensional VSI spacetimes
  • Generalized Friedmann branes
  • Robinson-Trautman spacetimes with an electromagnetic field in higher dimensions
  • Exterior spacetime for stellar models in 5-dimensional Kaluza-Klein gravity
  • A five-dimensional Schwarzschild-like solution
  • Static Ricci-flat 5-manifolds admitting the 2-sphere

Cited by in corpus (4)

  • Algebraic classification of higher dimensional spacetimes based on null alignment
  • Algebraically special axisymmetric solutions of the higher-dimensional vacuum Einstein equation
  • Higher dimensional black holes as constrained systems
  • Generalization Of The Gross-Perry Metrics
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