Dynamical conformal transformation and classical Euclidean wormholes

Details Dynamical conformal transformation and classical Euclidean wormholes Dynamical conformal transformation and classical Euclidean wormholes

2010-12-05

arxiv.org/abs/1012.1012v2

Int. J. Theor. Phys (2011) 51: 501-506

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, minor revision

Scientific paper

We investigate the necessary condition for the existence of classical Euclidean wormholes in a conformally non-invariant gravitational model minimally coupled to an scalar field. It is shown that while the original Ricci tensor with positive eigenvalues does not allow the Euclidean wormholes to occur, under dynamical conformal transformations the Ricci tensor, with respect to the original metric, is dynamically coupled with the conformal field and its eigenvalues may become negative allowing the Euclidean wormholes to occur. Therefore, it is conjectured that dynamical conformal transformations may provide us with {\it effective} forms of matter sources leading to Euclidean wormholes in conformally non-invariant systems.

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