Built on

R. D’Agostino, Phys. Rev. D 99
Original
1903
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov and E. N. Saridakis, Eur. Phys. J. C 79
Original
1903
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov and E. N. Saridakis, Phys. Lett. B 797
Original
1904
Earlier work this paper cites.
A. Bargach, F. Bargach, A. Errahmani and T. Ouali, Int. J. Mod. Phys. D 29
Original
1904
Earlier work this paper cites.
T. Paul, EPL 127
Original
1905
Earlier work this paper cites.
E. Elizalde and A. Timoshkin, Eur. Phys. J. C 79
Original
1908
Earlier work this paper cites.
A. Oliveros and M. A. Acero, EPL 128
Original
1911
Earlier work this paper cites.
A. Rényi, Proceedings of the Fourth Berkeley Symposium on Mathematics, Statistics and Probability, University of California Press (1960), 547-56
1960
Earlier work this paper cites.
J. D. Bekenstein, Phys. Rev. D 7
1973
Earlier work this paper cites.
S. W. Hawking, Commun. Math. Phys. 43
1976
Earlier work this paper cites.
C. Tsallis, C, Journal of Statistical Physics. 52 (1-2) (1988), 479-487 doi:10.1007/BF01016429
1988
Earlier work this paper cites.
T. Jacobson, Phys. Rev. Lett. 75
1995
Earlier work this paper cites.
S. A. Hayward, Class. Quant. Grav. 15
1998
Earlier work this paper cites.
L. Tannukij, P. Wongjun, E. Hirunsirisawat, T. Deesuwan and C. Promsiri, Eur. Phys. J. Plus 135
Original
2002
Earlier work this paper cites.
C. Promsiri, E. Hirunsirisawat and W. Liewrian, Phys. Rev. D 102
Original
2003
Earlier work this paper cites.
J. D. Barrow, Phys. Lett. B 808
Original
2004
Earlier work this paper cites.
M. Li, Phys. Lett. B 603
2004
Earlier work this paper cites.
T. Padmanabhan, Phys. Rept. 406
2005
Earlier work this paper cites.
R. G. Cai and S. P. Kim, JHEP 0502
2005
Earlier work this paper cites.

Similar

G. Kaniadakis, Phys. Rev. E 72
2005
Cited alongside, same era.
D. Pavon and W. Zimdahl, Phys. Lett. B 628
2005
Cited alongside, same era.
Y. g. Gong, B. Wang and Y. Z. Zhang, Phys. Rev. D 72
2005
Cited alongside, same era.
M. Akbar and R. G. Cai, Phys. Lett. B 635
2006
Cited alongside, same era.
A. Paranjape, S. Sarkar and T. Padmanabhan, Phys. Rev. D 74
2006
Cited alongside, same era.
S. Nojiri and S. D. Odintsov, Gen. Rel. Grav. 38
2006
Cited alongside, same era.
M. Akbar and R. G. Cai, Phys. Rev. D 75
2007
Cited alongside, same era.

Then

J. Ren, JHEP 05
Original
2012
Later among the works it cites.
D. Samart and P. Channuie, [arXiv:2012.14828 [hep-th]]
Original
2012
Later among the works it cites.
Y. Gim, W. Kim and S. H. Yi, JHEP 1407
Original
2014
Later among the works it cites.
T. Nishioka, JHEP 07
Original
2014
Later among the works it cites.
Z. Y. Fan and H. Lu, Phys. Rev. D 91
Original
2015
Later among the works it cites.

Beyond the bibliography

alphaXiv searches the wider corpus for related work and actual follow-ups.

Open on alphaXiv

alphaXiv is searching for related work…

Reading the bibliography…

2022

Modified cosmology from the thermodynamics of apparent horizon

Nojiri, Shin'ichi, Odintsov, Sergei D., Paul, Tanmoy

Understand

In the realm of the Bekenstein-Hawking entropy, the thermodynamics of apparent horizon bridges with the usual FLRW (Friedmann-Lema\^{i}tre-Robertson-Walker) equation only for a special case where the matter field is given by a perfect fluid having equation of state (EoS) parameter $= -1$, i.e $p = -\rho$ with $\rho$ and $p$ represent the energy density and the pressure of the fluid, respectively.

To include the case $p \neq -\rho$, we consider the modification of the Bekenstein-Hawking entropy in the present work.
In particular, we develop an entropy function that leads to the usual FLRW equations, for a $general$ EoS of the matter fluid given by $p = w\rho$, directly from the thermodynamics of the apparent horizon.
The newly developed entropy acquires a correction over the Bekenstein-Hawking entropy and differs from the known entropies like the Tsallis, R\'{e}nyi, Barrow, Sharma-Mittal, Kaniadakis, and Loop Quantum Gravity entropies proposed so far.

Built on

R. D’Agostino, Phys. Rev. D 99
Original
1903
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov and E. N. Saridakis, Eur. Phys. J. C 79
Original
1903
Earlier work this paper cites.
S. Nojiri, S. D. Odintsov and E. N. Saridakis, Phys. Lett. B 797
Original
1904
Earlier work this paper cites.
A. Bargach, F. Bargach, A. Errahmani and T. Ouali, Int. J. Mod. Phys. D 29
Original
1904
Earlier work this paper cites.
T. Paul, EPL 127
Original
1905
Earlier work this paper cites.
E. Elizalde and A. Timoshkin, Eur. Phys. J. C 79
Original
1908
Earlier work this paper cites.
A. Oliveros and M. A. Acero, EPL 128
Original
1911
Earlier work this paper cites.
A. Rényi, Proceedings of the Fourth Berkeley Symposium on Mathematics, Statistics and Probability, University of California Press (1960), 547-56
1960
Earlier work this paper cites.
J. D. Bekenstein, Phys. Rev. D 7
1973
Earlier work this paper cites.
S. W. Hawking, Commun. Math. Phys. 43
1976
Earlier work this paper cites.
C. Tsallis, C, Journal of Statistical Physics. 52 (1-2) (1988), 479-487 doi:10.1007/BF01016429
1988
Earlier work this paper cites.
T. Jacobson, Phys. Rev. Lett. 75
1995
Earlier work this paper cites.
S. A. Hayward, Class. Quant. Grav. 15
1998
Earlier work this paper cites.
L. Tannukij, P. Wongjun, E. Hirunsirisawat, T. Deesuwan and C. Promsiri, Eur. Phys. J. Plus 135
Original
2002
Earlier work this paper cites.
C. Promsiri, E. Hirunsirisawat and W. Liewrian, Phys. Rev. D 102
Original
2003
Earlier work this paper cites.
J. D. Barrow, Phys. Lett. B 808
Original
2004
Earlier work this paper cites.
M. Li, Phys. Lett. B 603
2004
Earlier work this paper cites.
T. Padmanabhan, Phys. Rept. 406
2005
Earlier work this paper cites.
R. G. Cai and S. P. Kim, JHEP 0502
2005
Earlier work this paper cites.

Similar

G. Kaniadakis, Phys. Rev. E 72
2005
Cited alongside, same era.
D. Pavon and W. Zimdahl, Phys. Lett. B 628
2005
Cited alongside, same era.
Y. g. Gong, B. Wang and Y. Z. Zhang, Phys. Rev. D 72
2005
Cited alongside, same era.
M. Akbar and R. G. Cai, Phys. Lett. B 635
2006
Cited alongside, same era.
A. Paranjape, S. Sarkar and T. Padmanabhan, Phys. Rev. D 74
2006
Cited alongside, same era.
S. Nojiri and S. D. Odintsov, Gen. Rel. Grav. 38
2006
Cited alongside, same era.
M. Akbar and R. G. Cai, Phys. Rev. D 75
2007
Cited alongside, same era.