Entropy of three-dimensional asymptotically flat cosmological solutions

Abstract

The thermodynamics of three-dimensional asymptotically flat cosmological solutions that play the same role than the BTZ black holes in the anti-de Sitter case is derived and explained from holographic properties of flat space. It is shown to coincide with the flat-space limit of the thermodynamics of the inner black hole horizon on the one hand and the semi-classical approximation to the gravitational partition function associated to the entropy of the outer horizon on the other. This leads to the insight that it is the Massieu function that is universal in the sense that it can be computed at either horizon.

16 pages Latex file, v2: references added, cosmetic changes, v3: 1 reference added

References in corpus (30)

• The World as a Hologram
• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• Black Hole Entropy from Near-Horizon Microstates
• AdS3 Black Holes and a Stringy Exclusion Principle
• Aspects of the BMS/CFT correspondence
• Baryons And Branes In Anti de Sitter Space
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• The BMS/GCA correspondence
• Galilean Conformal Algebras and AdS/CFT
• A New Cosmological Scenario in String Theory
• The flat limit of three dimensional asymptotically anti-de Sitter spacetimes
• Three-dimensional quantum geometry and black holes
• Quantum effective action from the AdS/CFT correspondence
• Asymptotic Structure of Symmetry Reduced General Relativity
• General Rotating Black Holes in String Theory: Greybody Factors and Event Horizons
• BMS/GCA Redux: Towards Flatspace Holography from Non-Relativistic Symmetries
• What We Don't Know about BTZ Black Hole Entropy
• Warped Conformal Field Theory
• GCA in 2d
• Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions
• Time-dependent Orbifolds and String Cosmology
• On Representations and Correlation Functions of Galilean Conformal Algebras
• Universal properties and the first law of black hole inner mechanics
• Inner Mechanics of 3d Black Holes
• Thermodynamics of Black Hole Horizons and Kerr/CFT Correspondence
• Supertranslations call for superrotations
• Galilean Conformal Algebra in Two Dimensions and Cosmological Topologically Massive Gravity
• Transition Amplitude in 2+1 dimensional Chern-Simons Gravity on a Torus
• Notes on the Area Theorem

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• Vacuum energy in asymptotically flat 2+1 gravity
• AdS${}_3$ to dS${}_3$ transition in the near horizon of asymptotically de Sitter solutions
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