2001/02/28 by Donald Marolf, Mark Trodden
Physics and Astronomy · #Astrophysical Phenomena and Observations #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #gr-qc #hep-th
paper · pdf · doi:10.1103/physrevd.64.065019
published as Phys.Rev. D64 (2001) 065019 · 18 pages, 3 figures, uses RevTeX. Minor typos fixed. References and one footnote added
arxiv created 2001/03/23 · openalex publication_date 2001/08/27 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the collision in 2+1 dimensions of a black hole and a negative tension brane on an orbifold. Because there is no gravitational radiation in 2+1 dimensions, the horizon area shrinks when part of the brane falls through. This provides a potential violation of the generalized second law of thermodynamics. However, tracing the details of the dynamical evolution, one finds that it does not proceed from equilibrium configuration to equilibrium configuration. Instead, a catastrophic space-time singularity develops similar to the ``big crunch'' of \ensuremathΩ>1 Friedmann-Robertson-Walker space-times. In the context of classical general relativity, our result demonstrates the instability of constructions with negative tension branes.