The constant-roll inflation model in Barrow entropy

被引:1
作者
Karabat, M. Faruk [1 ]
机构
[1] Prof Dr Aziz Sancar Mardin Sci & Art Ctr, Mardin, Turkiye
关键词
Barrow entropy; constant-roll inflation; power-law potential; UNIVERSE SCENARIO; FLUCTUATIONS; FLATNESS; HORIZON;
D O I
10.1142/S0219887824501226
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this work, we study a constant-roll inflation model embedded in the Barrow entropy scenario. In this regards, we derive the modified of the Friedmann-Robertson-Walker (FRW) universe from the Barrow entropy using the first law of thermodynamics for the apparent horizon of the universe. We consider the inflation dynamics of the early universe under the constant-roll condition where the inflation is driven by a power-law scalar potential field, V-(phi) = phi(n). We calculated the tensor-to-scalar ratio r and scalar spectral index ns by applying the constant-roll condition with some other parameters and compared them with the Planck 2020 observable data. To reveal the effect of the Barrow parameter Delta on the inflation, we fixed the constant-roll inflation parameter as gamma = 0.014 and focused on the exponent of potential in the range 0 < n < 1. We observed that as the value of the Barrow parameter approaches zero in the range 0 <= Delta <= 1, a long and sufficient inflation occurs, consistent with the observation data. This strengthens the claim that the observable values of the Barrow parameter occur at very small values. In addition, the obtained results were also examined numerically.
引用
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页数:14
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[1]   Planck 2015 results XVII. Constraints on primordial non-Gaussianity [J].
Ade, P. A. R. ;
Aghanim, N. ;
Arnaud, M. ;
Arrojam, F. ;
Ashdown, M. ;
Aumont, J. ;
Baccigalupi, C. ;
Ballardini, M. ;
Banday, A. J. ;
Barreiro, R. B. ;
Bartolo, N. ;
Basak, S. ;
Battaner, E. ;
Benabed, K. ;
Benoit, A. ;
Benoit-Levy, A. ;
Bernard, J. -P. ;
Bersanelli, M. ;
Bielewicz, P. ;
Bock, J. J. ;
Bonaldi, A. ;
Bonavera, L. ;
Bond, J. R. ;
Borrill, J. ;
Bouchet, F. R. ;
Boulanger, F. ;
Bucher, M. ;
Burigana, C. ;
Butler, R. C. ;
Calabrese, E. ;
Cardoso, J. -F. ;
Catalano, A. ;
Challinor, A. ;
Chamballu, A. ;
Chiang, H. C. ;
Christensen, P. R. ;
Church, S. ;
Clements, D. L. ;
Colombi, S. ;
Colombo, L. P. L. ;
Combet, C. ;
Couchot, F. ;
Coulais, A. ;
Crill, B. P. ;
Curto, A. ;
Cuttaia, F. ;
Danese, L. ;
Davies, R. D. ;
Davis, R. J. ;
de Bernardis, P. .
ASTRONOMY & ASTROPHYSICS, 2016, 594
[2]   Planck 2015 results XX. Constraints on inflation [J].
Ade, P. A. R. ;
Aghanim, N. ;
Arnaud, M. ;
Arroja, F. ;
Ashdown, M. ;
Aumont, J. ;
Baccigalupi, C. ;
Ballardini, M. ;
Banday, A. J. ;
Barreiro, R. B. ;
Bartolo, N. ;
Battaner, E. ;
Benabed, K. ;
Benoit, A. ;
Benoit-Levy, A. ;
Bernard, J. -P. ;
Bersanelli, M. ;
Bielewicz, P. ;
Bock, J. J. ;
Bonaldi, A. ;
Bonavera, L. ;
Bondi, J. R. ;
Borrillu, J. ;
Bouchet, F. R. ;
Boulanger, F. ;
Bucher, M. ;
Burigana, C. ;
Butler, R. C. ;
Calabrese, E. ;
Cardoso, J. -F. ;
Catalano, A. ;
Challinor, A. ;
Chamballu, A. ;
Chary, R. -R. ;
Chiang, H. C. ;
Christensen, P. R. ;
Churchl, S. ;
Clements, D. L. ;
Colombi, S. ;
Colombo, L. P. L. ;
Combet, C. ;
Contreras, D. ;
Couchot, F. ;
Coulais, A. ;
Crill, B. P. ;
Curto, A. ;
Cuttaia, F. ;
Danese, L. ;
Davies, R. D. ;
Davis, R. J. .
ASTRONOMY & ASTROPHYSICS, 2016, 594
[3]   Improved Constraints on Cosmology and Foregrounds from BICEP2 and Keck Array Cosmic Microwave Background Data with Inclusion of 95 GHz Band [J].
Ade, P. A. R. ;
Ahmed, Z. ;
Aikin, R. W. ;
Alexander, K. D. ;
Barkats, D. ;
Benton, S. J. ;
Bischoff, C. A. ;
Bock, J. J. ;
Bowens-Rubin, R. ;
Brevik, J. A. ;
Buder, I. ;
Bullock, E. ;
Buza, V. ;
Connors, J. ;
Crill, B. P. ;
Duband, L. ;
Dvorkin, C. ;
Filippini, J. P. ;
Fliescher, S. ;
Grayson, J. ;
Halpern, M. ;
Harrison, S. ;
Hilton, G. C. ;
Hui, H. ;
Irwin, K. D. ;
Karkare, K. S. ;
Karpel, E. ;
Kaufman, J. P. ;
Keating, B. G. ;
Kefeli, S. ;
Kernasovskiy, S. A. ;
Kovac, J. M. ;
Kuo, C. L. ;
Leitch, E. M. ;
Lueker, M. ;
Megerian, K. G. ;
Netterfield, C. B. ;
Nguyen, H. T. ;
O'Brient, R. ;
Ogburn, R. W. ;
Orlando, A. ;
Pryke, C. ;
Richter, S. ;
Schwarz, R. ;
Sheehy, C. D. ;
Staniszewski, Z. K. ;
Steinbach, B. ;
Sudiwala, R. V. ;
Teply, G. P. ;
Thompson, K. L. .
PHYSICAL REVIEW LETTERS, 2016, 116 (03)
[4]   Barrow holographic dark energy in a nonflat universe [J].
Adhikary, Priyanka ;
Das, Sudipta ;
Basilakos, Spyros ;
Saridakis, Emmanuel N. .
PHYSICAL REVIEW D, 2021, 104 (12)
[5]   Planck 2018 results: X. Constraints on inflation [J].
Akrami, Y. ;
Arroja, F. ;
Ashdown, M. ;
Aumont, J. ;
Baccigalupi, C. ;
Ballardini, M. ;
Banday, A. J. ;
Barreiro, R. B. ;
Bartolo, N. ;
Basak, S. ;
Benabed, K. ;
Bernard, J. -P. ;
Bersanelli, M. ;
Bielewicz, P. ;
Bock, J. J. ;
Bond, J. R. ;
Borrill, J. ;
Bouchet, F. R. ;
Boulanger, F. ;
Bucher, M. ;
Burigana, C. ;
Butler, R. C. ;
Calabrese, E. ;
Cardoso, J. -F. ;
Carron, J. ;
Challinor, A. ;
Chiang, H. C. ;
Colombo, L. P. L. ;
Combet, C. ;
Contreras, D. ;
Crill, B. P. ;
Cuttaia, F. ;
de Bernardis, P. ;
de Zotti, G. ;
Delabrouille, J. ;
Delouis, J. -M. ;
Di Valentino, E. ;
Diego, J. M. ;
Donzelli, S. ;
Dore, O. ;
Douspis, M. ;
Ducout, A. ;
Dupac, X. ;
Dusini, S. ;
Efstathiou, G. ;
Elsner, F. ;
Ensslin, T. A. ;
Eriksen, H. K. ;
Fantaye, Y. ;
Fergusson, J. .
ASTRONOMY & ASTROPHYSICS, 2020, 641
[6]   Dynamics of an interacting Barrow holographic dark energy model and its thermodynamic implications [J].
Al Mamon, Abdulla ;
Paliathanasis, Andronikos ;
Saha, Subhajit .
EUROPEAN PHYSICAL JOURNAL PLUS, 2021, 136 (01)
[7]   COSMOLOGY FOR GRAND UNIFIED THEORIES WITH RADIATIVELY INDUCED SYMMETRY-BREAKING [J].
ALBRECHT, A ;
STEINHARDT, PJ .
PHYSICAL REVIEW LETTERS, 1982, 48 (17) :1220-1223
[8]   SPONTANEOUS CREATION OF ALMOST SCALE-FREE DENSITY PERTURBATIONS IN AN INFLATIONARY UNIVERSE [J].
BARDEEN, JM ;
STEINHARDT, PJ ;
TURNER, MS .
PHYSICAL REVIEW D, 1983, 28 (04) :679-693
[9]   The area of a rough black hole [J].
Barrow, John D. .
PHYSICS LETTERS B, 2020, 808
[10]   BLACK HOLES AND ENTROPY [J].
BEKENSTEIN, JD .
PHYSICAL REVIEW D, 1973, 7 (08) :2333-2346