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Quantum bounds for gravitational de Sitter entropy and the Cardy-Verlinde formula

Shin'ichi Nojiri·Octavio Obregon·Sergei D. Odintsov·Hernando Quevedo·Mike P. Ryan
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Abstract

We analyze different types of quantum corrections to the Cardy-Verlinde entropy formula in a Friedmann-Robertson-Walker universe and in an (anti)-de Sitter space. In all cases we show that quantum corrections can be represented by an effective cosmological constant which is then used to redefine the parameters entering the Cardy-Verlinde formula so that it becomes valid also with quantum corrections, a fact that we interpret as a further indication of its universality. A proposed relation between Cardy-Verlinde formula and the ADM Hamiltonian constraint is given.

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Shin'ichi Nojiri, Octavio Obregon, Sergei D. Odintsov, Hernando Quevedo, Mike P. Ryan. 2001-06-16. Quantum bounds for gravitational de Sitter entropy and the Cardy-Verlinde formula. https://doi.org/10.1142/s0217732301004418

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