Accelerating Branes and Brane Temperature

Abstract

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.

32 pages, small corrections

References in corpus (16)

• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• The Unruh effect and its applications
• The (2+1)-Dimensional Black Hole
• Accelerated Detectors and Temperature in (Anti) de Sitter Spaces
• Mapping Hawking into Unruh Thermal Properties
• Nucleation of $P$-Branes and Fundamental Strings
• Equivalence of Hawking and Unruh Temperatures and Entropies Through Flat Space Embeddings
• Towards a General Theory of Quantized Fields on the Anti-de Sitter Space-Time
• On the physical meaning of the Unruh effect
• Global embedding of D-dimensional black holes with a cosmological constant in Minkowskian spacetimes: Matching between Hawking temperature and Unruh temperature
• The GEMS Approach to Stationary Motions in the Spherically Symmetric Spacetimes
• Higher dimensional flat embeddings of (2+1) dimensional black holes
• De Sitter Thermodynamics from Diamonds's Temperature
• A Note on the Generalization of the GEMS Approach
• The brane universe as an Unruh observer

Cited by in corpus (21)

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• Probe Branes, Time-dependent Couplings and Thermalization in AdS/CFT
• Quantum Quench across a Holographic Critical Point
• Synthetic Unruh effect in cold atoms
• Static, stationary and inertial Unruh-DeWitt detectors on the BTZ black hole
• Holographic Quantum Quench
• de Sitter Cosmology on an expanding bubble
• Temperature versus acceleration: the Unruh effect for holographic models
• Rindler-AdS/CFT
• Relativistic Kinematics and Stationary Motions
• Accelerated detectors and worldsheet horizons in AdS/CFT
• On the response of a particle detector in Anti-de Sitter spacetime
• Effect of spacetime dimensions on quantum entanglement between two uniformly accelerated atoms
• String Entanglement and D-branes as Pure States
• Local free-fall temperature of a RN-AdS black hole
• On the thermodynamics of moving bodies
• D7-brane dynamics and thermalization in the Kuperstein-Sonnenschein model
• Mapping Hawking temperature in the spinning constant curvature black hole spaces into Unruh temperature
• Temperature in the Throat
• Unruh-DeWitt detector on the BTZ black hole
• The Static Heavy Quark-Antiquark Potential within String Theory in Arbitrary Stationary Backgrounds