Self-dual Lorentzian wormholes in n-dimensional Einstein gravity

Mauricio Cataldo, Patricio Salgado, and Paul Minning
Phys. Rev. D 66, 124008 – Published 19 December 2002
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Abstract

A family of spherically symmetric, static and self-dual Lorentzian wormholes is obtained in n-dimensional Einstein gravity. This class of solutions includes the n-dimensional versions of the Schwarzschild black hole and the spatial-Schwarzschild traversable wormhole. Using isotropic coordinates we study the geometrical structure of the solution, and delineate the domains of the free parameters for which wormhole, naked singular geometries and the Schwarzschild black hole are obtained. It is shown that, in the lower dimensional Einstein gravity without a cosmological constant, we cannot have self-dual Lorentzian wormholes.

  • Received 3 September 2002

DOI:https://doi.org/10.1103/PhysRevD.66.124008

©2002 American Physical Society

Authors & Affiliations

Mauricio Cataldo*

  • Departamento de Física, Facultad de Ciencias, Universidad del Bío-Bío, Avenida Collao 1202, Casilla 5-C, Concepción, Chile

Patricio Salgado and Paul Minning

  • Departamento de Física, Facultad de Ciencias Físicas y Matemáticas, Universidad de Concepción, Casilla 160-C, Concepción, Chile

  • *Email address: mcataldo@ubiobio.cl
  • Email address: pasalgad@udec.cl
  • Email address: pminning@udec.cl

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Issue

Vol. 66, Iss. 12 — 15 December 2002

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