Logarithmic corrections to the FRW brane cosmology from 5d Schwarzschild-deSitter black hole

TL;DR

This paper investigates how quantum thermal fluctuations in 5d Schwarzschild-de Sitter black holes induce logarithmic corrections to the entropy and cosmological equations of brane universes, affecting their expansion and entropy bounds.

Contribution

It introduces logarithmic corrections from black hole thermodynamics into FRW brane cosmology, revealing new effects on universe evolution and entropy limits.

Findings

Logarithmic corrections act as an effective cosmological constant.

Bounce universe scenarios are possible due to these corrections.

Entropy bounds are modified by next-to-leading order terms.

Abstract

Thermodynamics of 5d SdS black hole is considered. Thermal fluctuations define the (sub-dominant) logarithmic corrections to black hole entropy and then to Cardy-Verlinde formula and to FRW brane cosmology. We demonstrate that logarithmic terms (which play the role of effective cosmological constant) change the behavior of 4d spherical brane in dS, SdS or Nariai bulk. In particularly, bounce Universe occurs or 4d dS brane expands to its maximum and then shrinks. The entropy bounds are also modified by next-to-leading terms. Out of braneworld context the logarithmic terms may suggest slight modification of standard FRW cosmology.