Near an event horizon, the action of general relativity acquires a new asymptotic conformal symmetry. For two-dimensional dilaton gravity, this symmetry results in a chiral Virasoro algebra, and Cardy's formula for the density of states reproduces the Bekenstein-Hawking entropy. This lends support to the notion that black hole entropy is controlled universally by conformal symmetry near the hor...

The holographic principle is studied in the context of a n + 1 dimensional radiation dominated closed Friedman-Robertson-Walker (FRW) universe. The radiation is represented by a conformal field theory with a large central charge. Following recent ideas on holography, it is argued that the entropy density in the early universe is bounded by a multiple of the Hubble constant. The entropy of the C...

Hawking radiation is viewed as a tunnelling process. In this way the effect of selfgravitation gives rise to quantum corrections to the entropy of the (2+1) BTZ black hole. The entropy is proportional to the horizon area and the quantum corrections to the Bekenstein-Hawking formula S = AH/4l P are found to be negative.

Negative absolute temperatures were introduced into experimental physics by Purcell and Pound, who successfully applied this concept to nuclear spins; nevertheless the concept has proved controversial : a recent article aroused considerable interest by its claim, based on a classical entropy formula (the ‘volume entropy’) due to Gibbs, that negative temperatures violated basic principles of sta...

In this work a deep relation between topology and thermodynamical features of manifolds with boundaries is shown. The expression for the Euler characteristic, through the GaussBonnet integral, and the one for the entropy of gravitational instantons are proposed in a form which makes the relation between them selfevident. A generalization of Bekenstein-Hawking formula, in which entropy and Euler...

Abstract. In this paper we obtain exponential large deviation bounds in the Shannon-McMillan-Breiman convergence formula for entropy in the case of weak Gibbs measures and topologically mixing subshifts of finite type. We also prove almost sure estimates for the error term in the convergence to entropy given by Shannon-McMillan-Breiman formula for both uniformly and non-uniformly expanding shif...

In this paper we will compute the entropy of a Schwarzschild black hole by finding a classical central charge of the Virasoro algebra of a liouville theory and using the Cardy formula. This is done by performing a dimensional reduction of the Einstein-Hilbert action with the Ansatz of spherical symmetry and writing the metric in conformally flat form. We obtain two coupled field equations and u...

This work elucidates the measure-theoretical entropy and dimensions of a unimodal map with a horizontal gap. The measure-theoretical entropy and dimensions of the Ft (which is defined later )are shown to form a devil’s staircase structure with respect to the gap size t. Pesin’s formula for gap maps is also considered .

In this paper we will compute the entropy of a Schwarzschild black hole by finding a classical central charge of the Virasoro algebra of a Liouville theory and using the Cardy formula. This is done by performing a dimensional reduction of the Einstein–Hilbert action with the Ansatz of spherical symmetry and writing the metric in conformally flat form. We obtain two coupled field equations using...

We derive a formula for the black hole entropy in theories with gravitational Chern-Simons terms, by generalizing Wald’s argument which uses the Noether charge. It correctly reproduces the entropy of three-dimensional black holes in the presence of Chern-Simons term, which was previously obtained via indirect methods.