Liouville Black Holes

Abstract

The dynamics of Liouville fields coupled to gravity are investigated by applying the principle of general covariance to the Liouville action in the context of a particular form of two-dimensional dilaton gravity. The resultant field equations form a closed system for the Liouville/gravity interaction. A large class of asymptotically flat solutions to the field equations is obtained, many of which can be interpreted as black hole solutions. The temperature of such black holes is proportional to their mass-parameters. An exact solution to the back reaction problem is obtained to one-loop order, both for conformally coupled matter fields and for the quantized metric/Liouville system. Quantum effects are shown to map the space of classical solutions into one another. A scenario for the end-point of black-hole radiation is discussed.

32 pgs., WATPHYS-TH93/03 (Latex plus two postscript figures appended)

References in corpus (5)

• The $D\to 2$ Limit of General Relativity
• Matching Conditions and Gravitational Collapse in Two-Dimensional Gravity
• Properties of Asymptotically Flat Two-Dimensional Black Holes
• Two Dimensional Quantum Gravity Coupled to Matter
• New Types of Thermodynamics from $(1+1)$-Dimensional Black Holes

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• Canonical reduction of two-dimensional gravity for Particle Dynamics
• Island may not save the information paradox of Liouville black holes
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• Exact Black Hole and Cosmological Solutions in a Two-Dimensional Dilaton-Spectator Theory of Gravity
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• On Higher Derivative Gravity in Two Dimensions
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• No logarithmic corrections to entropy in shift-symmetric Gauss-Bonnet gravity
• Self-Similar Gravitational Dynamics, Singularities and Criticality in 2D
• Cosmological Supergravity from a Massive Superparticle and Super Cosmological Black Holes
• Lower dimensional corpuscular gravity and the end of black hole evaporation
• Liouville Black Hole In A Noncommutative Space
• One-Dimensional Relativistic Self-Gravitating Systems
• Compact sources and cosmological horizons in lower dimensional bootstrapped Newtonian gravity
• On the existence of deformations and dimensional reduction in wormholes and black holes
• On the Liouville 2D dilaton gravity models with sinh-Gordon matter
• Super Liouville Black Holes
• On Schwarzschild black holes in a D-dimensional noncommutative space
• Noncommutative black holes in extended anti-de Sitter phase space
• Symmetries and solvable models for evaporating 2D black holes