TL;DR
This paper investigates the existence of horizons in black brane and BTZ black hole solutions within anti-de Sitter space, showing that quantum matter modes can eliminate horizons, supporting Hawking's non-existence proposal.
Contribution
It introduces a second-order gravitational effective action calculation in AdS space and demonstrates horizon disappearance due to quantum matter effects.
Findings
Horizon disappears when quantum matter modes are included
New black brane-like solution found without horizon
Supports Hawking's black hole non-existence proposal
Abstract
Gravitational effective action is calculated to second order in transverse momentums for a planar asymptotically anti-de Sitter geometry by gauge fixing method. The first order bulk energy-momentum tensor is calculated. The zeroth order equations of motion are solved and a new black brane-like solution is found. We show that once the contribution of matter quantum modes is taken into account, the horizon of the black brane disappears. This is also correct for BTZ black hole. Our result strengthens the black hole non-existence proposal by Hawking.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Astrophysical Phenomena and Observations