Revisiting black holes and wormholes under Weyl transformations

Abstract

The behavior of black holes horizon and wormholes under the Weyl conformal transformation is investigated. First, a shorter, but more general, derivation of the Weyl transformation of the simple prescription for detecting horizons and wormholes given recently in the literature for spherically symmetric spacetimes is provided. The derivation allows for a simple and intuitive way to understand why and when horizons and wormholes might arise in the conformal frame even if they were absent in the original frame. Then, the conformal behavior of black holes horizon and wormholes in more general spacetimes, based on more "sophisticated" definitions, is provided. The study shows that black holes and wormholes might always arise in the new frame even if they were absent in the original frame. Moreover, it is shown that some of the definitions found in the literature might be transformed into one another under such transformations. Worked-out examples are given.

arXiv comment15 pages, 4 figures. One more reference added

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Cited by in corpus (9)

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• Revisiting wormhole energy conditions in Riemann-Cartan spacetimes and under Weyl transformations
• Disformal mappings of spherical DHOST geometries
• More on spacetime thermodynamics in the light of Weyl transformations
• Black hole mechanics and thermodynamics in the light of Weyl transformations
• Revisiting the Schrödinger-Dirac equation
• Wormholes with matter haunted by conformally coupled ghosts
• New time-dependent solutions of viable Horndeski gravity
• What can we learn from the conformal noninvariance of the Klein-Gordon equation?