Minimally coupled scalar field wormholes

Details Minimally coupled scalar field wormholes Minimally coupled scalar field wormholes

Jun 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.6489c&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 12, 15 June 1994, pp.6489-6492

Physics

7

Initial Value Problem, Existence And Uniqueness Of Solutions, Ordinary Differential Equations

Scientific paper

We examine conditions for the existence of wormhole solutions in the Einstein equations with a dynamical minimally coupled scalar field matter source with an arbitrary effective potential. We find three wormhole solutions which connect a baby universe with two asymptotically flat spaces through a narrow tube in a constant, cosinelike, and tsum3i=0 cia-i potential, respectively (a being the scale factor). Because of the fact that the scalar field is not constant inside these wormholes, the gravitational constant takes different values in the two asymptotically flat spaces. These wormholes, under a conformal transformation, may be regarded as instanton-type solutions in higher order gravity with a Lagrangian that is an arbitrary analytic function of the scalar curvature.

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