Dynamical Conformal Transformation and Classical Euclidean Wormholes |
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Authors: | F Darabi |
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Institution: | 1. Department of Physics, Azarbaijan University of Tarbiat Moallem, 53714-161, Tabriz, Iran 2. Research Institute for Astronomy and Astrophysics of Maragha (RIAAM), 55134-441, Maragha, Iran
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Abstract: | 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 effective forms of matter sources leading to Euclidean wormholes in conformally non-invariant systems. |
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