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Brans–Dicke wormhole revisited

Amrita Bhattacharya1, Ilnur Nigmatzyanov2, Ramil Izmailov2 and Kamal K Nandi1,2,3

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A basic constraint to be satisfied by a Brans class I solution for being a traversible wormhole is derived. It is argued that the solution could be a wormhole analog of the Horowitz–Ross naked black hole. It is further demonstrated that the wormhole is traversible only 'in principle', but not in practice. Using a recently proposed measure of total gravitational energy inside a static wormhole configuration, it is shown that the wormhole contains the repulsive gravity required for the defocussing of orbits at the throat.


PACS

04.70.-s Physics of black holes

04.50.-h Higher-dimensional gravity and other theories of gravity

MSC

83C57 Black holes

83D05 Relativistic gravitational theories other than Einstein's, including asymmetric field theories

Subjects

Gravitation and cosmology

Dates

Issue 23 (7 December 2009)

Received 11 August 2009, in final form 6 October 2009

Published 11 November 2009



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