Accelerating Branes and Brane Temperature

Details Accelerating Branes and Brane Temperature Accelerating Branes and Brane Temperature

2008-05-22

arxiv.org/abs/0805.3488v2

Class.Quant.Grav.25:175017,2008

Physics

High Energy Physics

High Energy Physics - Theory

32 pages, small corrections

Scientific paper

10.1088/0264-9381/25/17/175017

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.

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