×

Entropy of the FRW universe based on the generalized uncertainty principle. (English) Zbl 1193.83064

Summary: The statistical entropy of the FRW universe described by time-dependent metric is newly calculated using the brick wall method based on the general uncertainty principle with the minimal length. We can determine the minimal length with the Planck scale to obtain the entropy proportional to the area of the cosmological apparent horizon.

MSC:

83F05 Relativistic cosmology
83C15 Exact solutions to problems in general relativity and gravitational theory
94A17 Measures of information, entropy

References:

[1] Cvetic M., JHEP 0909 pp 088–
[2] DOI: 10.1016/j.nuclphysb.2009.09.025 · Zbl 1196.81200 · doi:10.1016/j.nuclphysb.2009.09.025
[3] DOI: 10.1103/PhysRevD.7.2333 · Zbl 1369.83037 · doi:10.1103/PhysRevD.7.2333
[4] DOI: 10.1103/PhysRevD.9.3292 · doi:10.1103/PhysRevD.9.3292
[5] DOI: 10.1007/BF02345020 · Zbl 1378.83040 · doi:10.1007/BF02345020
[6] Bousso R., JHEP 9907 pp 004–
[7] DOI: 10.1088/0264-9381/17/15/101 · Zbl 0958.83075 · doi:10.1088/0264-9381/17/15/101
[8] Cai R. G., JHEP 0502 pp 050–
[9] DOI: 10.1103/PhysRevD.75.064008 · doi:10.1103/PhysRevD.75.064008
[10] DOI: 10.1103/PhysRevD.75.084003 · doi:10.1103/PhysRevD.75.084003
[11] DOI: 10.1016/j.nuclphysb.2007.04.028 · Zbl 1200.83110 · doi:10.1016/j.nuclphysb.2007.04.028
[12] DOI: 10.1016/j.nuclphysb.2007.06.016 · Zbl 1150.83010 · doi:10.1016/j.nuclphysb.2007.06.016
[13] DOI: 10.1016/0550-3213(85)90418-3 · doi:10.1016/0550-3213(85)90418-3
[14] DOI: 10.1103/PhysRevD.50.2700 · doi:10.1103/PhysRevD.50.2700
[15] DOI: 10.1103/PhysRevD.50.R6031 · doi:10.1103/PhysRevD.50.R6031
[16] DOI: 10.1103/PhysRevLett.73.2521 · Zbl 1020.83603 · doi:10.1103/PhysRevLett.73.2521
[17] DOI: 10.1103/PhysRevD.52.3529 · doi:10.1103/PhysRevD.52.3529
[18] DOI: 10.1103/PhysRevD.52.2245 · doi:10.1103/PhysRevD.52.2245
[19] DOI: 10.1016/S0370-2693(96)01572-9 · doi:10.1016/S0370-2693(96)01572-9
[20] DOI: 10.1088/0264-9381/14/9/016 · Zbl 0884.53069 · doi:10.1088/0264-9381/14/9/016
[21] DOI: 10.1103/PhysRevD.61.124021 · doi:10.1103/PhysRevD.61.124021
[22] DOI: 10.1103/PhysRevD.64.044025 · doi:10.1103/PhysRevD.64.044025
[23] Liu W. B., Chin. Phys. Lett. 18 pp 310–
[24] DOI: 10.1142/S0217751X04016416 · Zbl 1080.83531 · doi:10.1142/S0217751X04016416
[25] Li X., Phys. Rev. D 62 pp 104001–
[26] DOI: 10.1016/j.physletb.2008.09.063 · doi:10.1016/j.physletb.2008.09.063
[27] Li X., Phys. Lett. B 540 pp 9–
[28] Liu W. B., Chin. Phys. Lett. 20 pp 440–
[29] DOI: 10.1007/s10773-005-3983-8 · Zbl 1080.83524 · doi:10.1007/s10773-005-3983-8
[30] DOI: 10.1142/S0217751X03013673 · Zbl 1033.83023 · doi:10.1142/S0217751X03013673
[31] DOI: 10.1142/S0217732304013192 · Zbl 1080.83528 · doi:10.1142/S0217732304013192
[32] DOI: 10.1103/PhysRevD.74.104001 · doi:10.1103/PhysRevD.74.104001
[33] DOI: 10.1016/j.physletb.2006.12.062 · Zbl 1273.83106 · doi:10.1016/j.physletb.2006.12.062
[34] DOI: 10.1016/j.physletb.2007.08.065 · Zbl 1246.83124 · doi:10.1016/j.physletb.2007.08.065
[35] Kim W., JHEP 0801 pp 034–
[36] DOI: 10.1016/j.physletb.2009.03.020 · doi:10.1016/j.physletb.2009.03.020
[37] DOI: 10.1103/PhysRevD.80.084013 · doi:10.1103/PhysRevD.80.084013
[38] DOI: 10.1088/0264-9381/15/10/017 · Zbl 0942.83040 · doi:10.1088/0264-9381/15/10/017
[39] DOI: 10.1016/S0375-9601(99)00225-X · doi:10.1016/S0375-9601(99)00225-X
[40] Carroll S. M., Spacetime and Geometry: An Introduction to General Relativity (2004)
[41] DOI: 10.1103/PhysRevD.52.1108 · doi:10.1103/PhysRevD.52.1108
[42] DOI: 10.1016/S0370-2693(01)01091-7 · Zbl 0972.82011 · doi:10.1016/S0370-2693(01)01091-7
[43] DOI: 10.1103/PhysRevD.65.125028 · doi:10.1103/PhysRevD.65.125028
[44] DOI: 10.1142/S0217751X95000085 · doi:10.1142/S0217751X95000085
[45] DOI: 10.1016/S0370-2693(99)00167-7 · doi:10.1016/S0370-2693(99)00167-7
[46] DOI: 10.1023/A:1015281430411 · Zbl 1003.83020 · doi:10.1023/A:1015281430411
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.