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Dimensionally continued wormhole solutions

Xin-zhou Li

  • East China Institute for Theoretical Physics, 130 Meilong Road, Shanghai 200237, China
  • School of Science, East China University of Science Technology, Shanghai 200237, China

Phys. Rev. D 50, 3787 – Published 15 September, 1994

DOI: https://doi.org/10.1103/PhysRevD.50.3787

Abstract

In this paper we consider wormhole solutions for the action of ‘‘special Lovelock gravity’’ recently discussed by Banados, Teitelboim, and Zanelli. This action is, in odd dimensions, the Chern-Simons form for the anti–de Sitter group and, in even dimensions, the Euler density constructed with the Lorentz part of the anti–de Sitter curvature tensor. We present a systematic study of classical wormhole solutions in the special Lovelock theory with various matter content, including a perfect fluid energy-momentum tensor, axionic field, and conformal scalar field.

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