Comment: No wormholes with real minimally coupled scalar fields

Details Comment: No wormholes with real minimally coupled scalar fields Comment: No wormholes with real minimally coupled scalar fields

May 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997phrvd..55.6606c&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 55, Issue 10, 15 May 1997, pp.6606-6608

Physics

3

Spacetime Topology, Causal Structure, Spinor Structure, Initial Value Problem, Existence And Uniqueness Of Solutions

Scientific paper

Cotsakis et al. [Phys. Rev. D 49, 6489 (1994)] claimed that wormhole solutions can be obtained with real scalar fields which could in turn be simulated with higher order gravity theories. Because of various sign errors this conclusion is not justified, and instead a complex scalar field is necessary. Higher derivative theories can have wormholes by choosing the ``wrong signs'' for the coefficients in front of the functions of scalar curvature. This ensures that there is a minus sign in front of the kinetic term in the conformally related scalar field theory, thus ensuring that the Ricci tensor has negative eigenvalues. A real scalar field with a negative definite potential V(φ)<0, although satisfying the Ricci tensor condition, does not support a wormhole, at least when using a FRW metric.

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