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

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TLDR
In this paper, logarithmic terms (which play the role of effective cosmological constant) change the behavior of 4D spherical brane in dS, SdS or Nariai bulk.
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.

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Citations
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Self-Gravitational Corrections to the Cardy-Verlinde Formula and the FRW Brane Cosmology in SdS_5 Bulk

TL;DR: In this article, the self-gravitational corrections to the Cardy-Verlinde entropy of a five-dimensional Schwarzschild de-Sitter black hole (SdS_5) are explicitly evaluated.
Journal ArticleDOI

Concept of temperature in multi-horizon spacetimes: analysis of Schwarzschild–De Sitter metric

TL;DR: In this article, the conditions under which a global temperature can exist for a spacetime with two horizons using the example of Schwarzschild-De Sitter (SDS) spacetime was examined.
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Self-Gravitational Corrections to the Cardy-Verlinde Formula and the FRW Brane Cosmology in SdS 5 Bulk

TL;DR: In this paper, the self-gravitational corrections to the Friedmann-like equation of a point particle moving in a one-dimensional effective potential were derived and a short analysis on the asymptotic behavior of the four-dimensional brane was presented.
Journal ArticleDOI

The Generalized Uncertainty Principle and Corrections to the Cardy-Verlinde Formula in SAdS 5 Black Holes

TL;DR: In this article, a modification to the temperature and entropy of five-dimensional Schwarzschild anti-de Sitter black holes due to the incorporation of stringy corrections to the modified uncertainty principle was investigated.
Journal ArticleDOI

Corrections to Hawking-like radiation for a Friedmann–Robertson–Walker universe

TL;DR: In this article, a Hamilton-Jacobi method beyond the semiclassical approximation in black hole physics was developed by Banerjee and Majhi, and they generalize their analysis of black holes to the case of a Friedmann-Robertson-Walker (FRW) universe.
References
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Journal ArticleDOI

An Alternative to compactification

TL;DR: In this paper, a single 3-brane embedded in five dimensions was shown to reproduce four-dimensional Newtonian and general relativistic gravity to more than adequate precision, even without a gap in the Kaluza-Klein spectrum.
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Operator Content of Two-Dimensional Conformally Invariant Theories

TL;DR: In this paper, it was shown how conformal invariance relates many numerically accessible properties of the transfer matrix of a critical system in a finite-width infinitely long strip to bulk universal quantities.
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General logarithmic corrections to black-hole entropy

TL;DR: In this article, leading-order corrections to the entropy of any thermodynamic system due to small statistical fluctuations around equilibrium were shown to be of the form −k ln(Area).
Journal ArticleDOI

FRIEDMANN–ROBERTSON–WALKER BRANE COSMOLOGICAL EQUATIONS FROM THE FIVE-DIMENSIONAL BULk (A)dS BLACK HOLE

TL;DR: In this article, Friedmann-Robertson-Walker (FRW) brane equations are considered from the point of view of their representation in the form similar to two-dimensional CFT entropy, the Cardy-Verlinde (CV) formula.
Journal ArticleDOI

CFT and Entropy on the Brane

TL;DR: In this article, the authors considered a brane-universe in the background of an anti-de-Sitter/Schwarzschild geometry and showed that the induced geometry of the brane is exactly given by that of a standard radiation dominated FRWuniverse.
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