Static wormhole solution for higher-dimensional gravity in vacuum

@article{Dotti2006StaticWS,
  title={Static wormhole solution for higher-dimensional gravity in vacuum},
  author={Gustavo Dotti and Julio Oliva and Ricardo Troncoso},
  journal={Physical Review D},
  year={2006},
  volume={75},
  pages={024002}
}
A static wormhole solution for gravity in vacuum is found for odd dimensions greater than four. In five dimensions the gravitational theory considered is described by the Einstein-Gauss-Bonnet action where the coupling of the quadratic term is fixed in terms of the cosmological constant. In higher dimensions $d=2n+1$, the theory corresponds to a particular case of the Lovelock action containing higher powers of the curvature, so that in general, it can be written as a Chern-Simons form for the… 

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References

SHOWING 1-10 OF 36 REFERENCES

Lorentzian wormholes in Einstein-Gauss-Bonnet theory.

  • BhawalKar
  • Physics
    Physical review. D, Particles and fields
  • 1992
Lorentzian wormhole solutions are investigated in the context of the $D$-dimensional Einstein-Gauss-Bonnet theory of gravitation and the violation of the weak energy condition persists for $\ensuremath{\alpha}g0$.

Simple compactifications and black p-branes in Gauss-Bonnet and Lovelock theories

We look for the existence of asymptotically flat simple compactifications of the form D−p × Tp in D-dimensional gravity theories with higher powers of the curvature. Assuming the manifold D−p to be

New gauge supergravity in seven and eleven dimensions

Locally supersymmetric systems in odd dimensions whose Lagrangians are Chern-Simons forms for supersymmetric extensions of anti\char21{}de Sitter gravity are discussed. The construction is

Euclidean Quantum Gravity

This chapter studies the linearized gravitational field in the presence of boundaries. For this purpose, zeta-function regularization is used to perform the mode-by-mode evaluation of Faddeev-Popov

Black holes with topologically nontrivial AdS asymptotics

Asymptotically locally AdS black hole geometries of dimension d > 2 are studied for nontrivial topologies of the transverse section. These geometries are static solutions of a set of theories labeled

Black hole scan

Gravitation theories selected by requiring that they have a unique anti-de Sitter vacuum with a fixed cosmological constant are studied. For a given dimension d, the Lagrangians under consideration

The Particle Problem in the General Theory of Relativity

The writers investigate the possibility of an atomistic theory of matter and electricity which, while excluding singularities of the field, makes use of no other variables than the g&„of the general

Wormholes in spacetime and their use for interstellar travel: A tool for teaching general relativity

Rapid interstellar travel by means of spacetime wormholes is described in a way that is useful for teaching elementary general relativity. The description touches base with Carl Sagan’s novel