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The entropy of dynamical de Sitter horizons

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arxiv 2503.16138 v4 pith:KWRYY5YQ submitted 2025-03-20 gr-qc hep-th

The entropy of dynamical de Sitter horizons

classification gr-qc hep-th
keywords dynamicalentropyeventhorizoncosmologicalfirstformulahorizons
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Recently Hollands, Wald and Zhang proposed a new formula for the entropy of a dynamical black hole. We lift this construction to the dynamical cosmological event horizon of an asymptotically de Sitter spacetime. By introducing a nontrivial correction term in the formula for the entropy, we generalize Gibbons and Hawking's "first law of event horizons" to non-stationary eras. We also develop the non-stationary physical process first law between two arbitrary horizon cross-sections for the cosmological event horizon.

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