Thermodynamics of apparent horizon in modified FRW universe with power-law corrected entropy

Karami, K.; Abdolmaleki, A.; Sahraei, Nasim; Ghaffari, S.

doi:10.1007/jhep08(2011)150

Cited by 45 publications

(31 citation statements)

References 60 publications

(46 reference statements)

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“…To explain the accelerated expansion of the late Universe [1][2][3][4], various cosmological models have been proposed [5], such as lambda cold dark matter (ΛCDM) models, time-varying Λ(t) cosmology, [6][7][8][9][10][11][12][13], bulk viscous cosmology [14][15][16][17][18][19][20], and thermodynamic scenarios [21][22][23][24][25][26][27][28][29][30][31][32]. The ΛCDM model assumes a cosmological constant Λ and an additional energy component called 'dark energy'.…”

Section: Introductionmentioning

confidence: 99%

Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law

Komatsu

2021

Preprint

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Our Universe is expected to finally approach a de Sitter universe whose horizon is considered to be in thermal equilibrium. In the present article, both the energy stored on the horizon and its thermodynamic fluctuations are examined through the holographic equipartition law. First, it is confirmed that a flat Friedmann-Robertson-Walker universe approaches a de Sitter universe, using a cosmological model close to lambda cold dark matter (ΛCDM) models. Then, based on the holographic equipartition law, the energy density of the Hubble volume is calculated from the energy on the Hubble horizon of a de Sitter universe. The energy density for a de Sitter universe is constant and the order of the energy density is consistent with the order of that for the observed cosmological constant. Second, thermodynamic fluctuations of energy on the horizon are examined, assuming stable fluctuations around thermal equilibrium states. A standard formulation of the fluctuations for a canonical ensemble is applied to the Hubble horizon of a de Sitter universe. The thermodynamic fluctuations of the energy are found to be a universal constant corresponding to the Planck energy, regardless of the Hubble parameter. In contrast, the relative fluctuations of the energy can be characterized by the ratio of the one-degree-of-freedom energy to the Planck energy. At the present time, the order of the relative fluctuations should be within the range of a discrepancy derived from a discussion of the cosmological constant problem, namely a range approximately from 10 −60 to 10 −123 . The present results may imply that the energy stored on the Hubble horizon is related to a kind of effective dark energy, whereas the energy that can be 'maximumly' stored on the horizon may behave as if it were a kind of effective vacuum-like energy in an extended holographic equipartition law.

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Section: Introductionmentioning

confidence: 99%

Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law

Komatsu

2021

Preprint

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“…The second term in (3) can be regarded as a power-law correction to the area law, resulting from entanglement, when the wave function of the field is chosen to be a superposition of ground state and exited state. [24][25][26][27] Several aspects of power-law corrected entropy (3) have been studied in literature including GSL, 28 power-law entropy corrected models of dark energy [29][30][31][32] (for a very recent review on dark energy, see, Ref. 33).…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of a Schwarzschild Black Hole in Phantom Cosmology With Entropy Corrections

Jamil

Momeni

Bamba

et al. 2012

Int. J. Mod. Phys. D

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Motivated by some earlier works [G. Izquierdo and D. Pavon, Phys. Lett. B 639 (2006) 1; H. M. Sadjadi, Phys. Lett. B 645 (2007) 108.] dealing with the study of generalized second law (GSL) of thermodynamics for a system comprising of a Schwarzschild black hole accreting a test nonself-gravitating fluid namely phantom energy in FRW universe, we extend them when the entropy of horizons of black hole and the cosmological undergo quantum corrections. Two types of such corrections are relevant here including logarithmic and power-law, while both are motivated from different theoretical backgrounds. We obtain general mathematical conditions for the validity of GSL in each case. Further we find that GSL restricts the mass of black hole for accretion of phantom energy. As such we obtain upper bounds on the mass of black hole above which the black hole cannot accrete the phantom fluid, otherwise the GSL is violated.

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“…It is important to note that the correction term falls off rapidly as A increases and hence in the semi classical limit (large A), the area law can be recovered. This correction has been recently used extensively in dark energy literature: to study the holographic and new-agegraphic dark energy in various gravitational theories [56][57][58][59][60][61][62] and the study of GSL in FRW cosmology with power-law entropy correction [63,64]. For this choice of the horizon entropy, eqn (25) becomes…”

Section: B Power Law Correctionmentioning

confidence: 99%

Generalized Second Law of Thermodynamics of Evolving Wormhole with Entropy Corrections

Bandyopadhyay¹,

Debnath²,

Jamil³

et al. 2014

Int J Theor Phys

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In this work, we study the generalized second law of thermodynamics (GSL) at the apparent horizon of an evolving Lorentzian wormhole. We obtain the expressions of thermal variables at the apparent horizon. Choosing the two well-known entropy functions i.e. power-law and logarithmic, we obtain the expressions of GSL. We have analyzed the GSL using a power-law form of scale factor a(t) = a0t n and the special form of shape function b(r) = b 0 r . It is shown that GSL is valid in the evolving wormhole spacetime for both choices of entropies if the power-law exponent is small, but for large values of n, the GSL is satisfied at initial stage and after certain stage of the evolution of the wormhole, it violates.

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Thermodynamics of apparent horizon in modified FRW universe with power-law corrected entropy

Cited by 45 publications

References 60 publications

Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law

Energy stored on a cosmological horizon and its thermodynamic fluctuations in holographic equipartition law

Thermodynamics of a Schwarzschild Black Hole in Phantom Cosmology With Entropy Corrections

Generalized Second Law of Thermodynamics of Evolving Wormhole with Entropy Corrections

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