2008/05/31 by J. G. Russo, Jorge G. Russo, Paul Townsend +1 · 1 citation
Physics and Astronomy · #Anti-de Sitter space #Black Holes and Theoretical Physics #Brane #Brane cosmology #Classical mechanics #Closed timelike curve #Cosmology and Gravitation Theories #De Sitter space #De Sitter universe #Mathematical physics #Minkowski space #Physics #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Spacetime #Theoretical physics #Universe #Unruh effect #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/25/17/175017
published as Class.Quant.Grav.25:175017,2008 · 32 pages, small corrections
arxiv created 2008/06/02 · openalex publication_date 2008/08/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We define the local acceleration and jerk of a relativistic brane in an ambient spacetime, and construct from them a dimensionless parameter lambda that must be small for an interpretation of brane acceleration as local Unruh temperature. As examples, we discuss (i) open rotating branes, for which lambda>1 (ii) closed spherical branes expanding in Minkowski spacetime, for which lambda=0 when the worldvolume is either an Einstein static universe or de Sitter space, in which case the brane temperature equals the Gibbons-Hawking temperature, (iii) closed spherical branes in anti-de Sitter spacetime, for which a maximally symmetric worldvolume is anti-de Sitter, Minkowski or de Sitter according to whether the magnitude of the brane acceleration is less than, equal to or greater than a `critical' value, and (iv) the BTZ black hole, viewed as a membrane.