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Hořava–Witten stability: eppur si muove

2005/02/28 by W. Chen, Zhiwei Chong, Z. -W. Chong +5 · 3 citations
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Brane #Brane cosmology #Classical mechanics #Compactification (mathematics) #Cosmology and Gravitation Theories #Heterotic string theory #Instability #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pure mathematics #Quantum mechanics #Singularity #Spacetime #Supergravity #Supersymmetry #Theoretical physics #astro-ph #gr-qc #hep-th

paper · pdf · doi:10.1016/j.nuclphysb.2005.10.018

published as Nucl.Phys.B732:118-135,2006 · Latex, 22 pages, extended discussion of the global spacetime structure, and reference added

arxiv created 2005/03/12 · openalex publication_date 2005/11/08 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We construct exact time-dependent solutions of the supergravity equations of motion in which two initially non-singular branes, one with positive and the other with negative tension, move together and annihilate each other in an all-enveloping spacetime singularity. Among our solutions are the Horava-Witten solution of heterotic M-theory and a Randall-Sundrum I type solution, both of which are supersymmetric, i.e. BPS, in the time-independent case. In the absence of branes our solutions are of Kasner type, and the source of instability may ascribed to a failure to stabilise some of the modulus fields of the compactification. It also raises questions about the viability of models based on some sorts of negative tension brane.

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