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Phys. Rev. D 65, 064004 (2002) [7 pages]

R=0 spacetimes and self-dual Lorentzian wormholes

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Naresh Dadhich*
Inter-University Centre for Astronomy and Astrophysics, Post Bag 4, Ganeshkhind, Pune 411 007, India

Sayan Kar†
Department of Physics and Centre for Theoretical Studies, Indian Institute of Technology, Kharagpur 721 302, WB, India

Sailajananda Mukherjee‡
Department of Physics, University of North Bengal, P.O. North Bengal University, Siliguri 734430 Dist Darjeeling, WB, India

Matt Visser§
Physics Department, Washington University, Saint Louis, Missouri 63130-4899

Received 20 September 2001; published 7 February 2002

A two-parameter family of spherically symmetric, static Lorentzian wormholes is obtained as the general solution of the equation ρ=ρt=0, where ρ=Tijuiuj, ρt=(Tij-1/2Tgij)uiuj, and uiui=-1. This equation characterizes a class of spacetimes which are “self-dual” (in the sense of electrogravity duality). The class includes the Schwarzschild black hole, a family of naked singularities, and a disjoint family of Lorentzian wormholes, all of which have a vanishing scalar curvature (R=0). The properties of these spacetimes are discussed. Using isotropic coordinates we delineate clearly the domains of parameter space for which wormholes, nakedly singular spacetimes and the Schwarzschild black hole can be obtained. A model for the required “exotic” stress-energy is discussed, and the notion of traversability for the wormholes is also examined.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.064004
DOI:
10.1103/PhysRevD.65.064004
PACS:
04.70.Dy, 04.62.+v, 11.10.Kk

*Electronic address: nkd@iucaa.ernet.in

†Electronic address: sayan@cts.iitkgp.ernet.in

‡Electronic address: sailom@nbu.ernet.in

§Electronic address: visser@kiwi.wustl.edu; URL: http://www.physics.wustl.edu/̃visser

 
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