Correction to the Friedmann equation with Sharma-Mittal entropy: A new perspective on cosmology

被引:2
作者
Naeem, Muhammad [1 ]
Bibi, Aysha [1 ]
机构
[1] Quaid I Azam Univ, Dept Math, Islamabad, Pakistan
关键词
Sharma-Mittal entropy; Emergence force; Second law of thermodynamics; Tsallis entropy; Renyi entropy; HOLOGRAPHIC DARK ENERGY; GENERALIZED ENTROPY; THERMODYNAMICS; TSALLIS; GRAVITY; RENYI; LAW;
D O I
10.1016/j.aop.2024.169618
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
As the black hole entropy does not obey the area law on it. The area law, given by S similar to A(delta )or A (R), where delta and R , for 0 <=delta <= 1, 0<R <= 1, indicates the amount of quantum gravitational deformation effects. This shows that gravity and thermodynamics are closely related. Based on this deep connection, we tried to discuss the effects of Sharma-Mittal entropy on the cosmological equations. We also investigated whether the apparent horizon-enclosed universe was consistence with the generalized second law of thermodynamics. Finally, using the gravity emergence scenario, we derived the modified Friedmann equation and, compared it with that derived from the first law of thermodynamics in the presence of Sharma-Mittal entropy. It is observed that we can recover the results for standard cosmology when R,delta=1.
引用
收藏
页数:12
相关论文
共 61 条
  • [1] General pseudoadditivity of composable entropy prescribed by the existence of equilibrium
    Abe, S
    [J]. PHYSICAL REVIEW E, 2001, 63 (06): : 1 - 061105
  • [2] Cosmological considerations in Kaniadakis statistics
    Abreu, Everton M. C.
    Neto, Jorge Ananias
    Mendes, Albert C. R.
    Bonilla, Alexander
    de Paula, Rodrigo M.
    [J]. EPL, 2018, 124 (03)
  • [3] Considerations on gravity as an entropic force and entangled states
    Abreu, Everton M. C.
    Ananias Neto, Jorge
    [J]. PHYSICS LETTERS B, 2013, 727 (4-5) : 524 - 526
  • [4] New bounds for Tsallis parameter in a noncommutative phase-space entropic gravity and nonextensive Friedmann equations
    Abreu, Everton M. C.
    Neto, Jorge Ananias
    Mendes, Albert C. R.
    Oliveira, Wilson
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2013, 392 (20) : 5154 - 5163
  • [5] Thermodynamic behavior of the Friedmann equation at the apparent horizon of the FRW universe
    Akbar, M.
    Cai, Rong-Gen
    [J]. PHYSICAL REVIEW D, 2007, 75 (08):
  • [6] Dark energy models through nonextensive Tsallis' statistics
    Barboza, Edesio M., Jr.
    Nunes, Rafael da C.
    Abreu, Everton M. C.
    Neto, Jorge Ananias
    [J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2015, 436 : 301 - 310
  • [7] The area of a rough black hole
    Barrow, John D.
    [J]. PHYSICS LETTERS B, 2020, 808
  • [8] Renyi entropies of a black hole from Hawking radiation
    Bialas, A.
    Czyz, W.
    [J]. EPL, 2008, 83 (06)
  • [9] A q-parameter bound for particle spectra based on black hole thermodynamics with Renyi entropy
    Biro, Tamas S.
    Czinner, Viktor G.
    [J]. PHYSICS LETTERS B, 2013, 726 (4-5) : 861 - 865
  • [10] Cai RG, 2005, J HIGH ENERGY PHYS