Quintessential f(G) gravity with statistically fitting of H(z)

被引:3
作者
Shekh, S. H. [1 ]
Husain, A. [2 ]
Chaudhary, H. [3 ]
Samdurkar, S. W. [4 ]
Myrzakulov, N. [5 ,6 ]
机构
[1] S P M Sci & Gilani Arts Commerce Coll, Dept Math, Yavatmal 445301, Maharashtra, India
[2] Narayanrao Kale Smurti Model Coll Karanja Gha, Dept Math, Wardha 442203, Maharashtra, India
[3] Delhi Technol Univ, Dept Appl Math, Delhi 110042, India
[4] Vidya Vikas Arts Commerce & Sci Coll, Dept Math, Wardha 442305, Maharashtra, India
[5] LN Gumilyov Eurasian Natl Univ, Astana 010008, Kazakhstan
[6] Ratbay Myrzakulov Eurasian Int Ctr Theoret Phys, Astana 010009, Kazakhstan
关键词
Modified gravity; statistically fitting; dark energy; cosmology; IMPROVED COSMOLOGICAL CONSTRAINTS; F(T) GRAVITY; MODELS; UNIVERSE; STATEFINDER; IA;
D O I
10.1142/S0217732324500998
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Inspired by high-energy physics and by considering standard gravity theory as the low-energy limit of quantum theory, the modification of general relativity as R+f(G) has been proposed. This paper is dedicated to investigating the cosmological model of modified Gauss-Bonnet gravity in four dimensions. General field equations for the four-dimensional Friedmann- Robertson-Walker metric are given in detail. Also, it is well known that Hubble parameter H(z) measurements are helpful for the inference of cosmological model parameters. We try to explain the MCMC statistical approach used to calculate Hubble's parameter. The resulting form of H(z) was limited using Cosmic Chronometric data, Standard Candles SN Ia from Pantheon, and Baryon Acoustic Oscillations to obtain the best match values by using the regression equation. Finally, to examine the late-time dynamics of our Universe, the behavior of physical and kinematic variables like the deceleration parameter (q), State-finder parameters {r,s}, diagnostic parameter (Om(z)), equation of state parameter as well as the behavior of energy conditions versus redshift with the parameter values are presented.
引用
收藏
页数:19
相关论文
共 63 条
[1]   Constraints on Primordial Gravitational Waves Using Planck, WMAP, and New BICEP2/Keck Observations through the 2015 Season [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. ;
Cornelison, J. ;
Crill, B. P. ;
Crumrine, M. ;
Dierickx, M. ;
Duband, L. ;
Dvorkin, C. ;
Filippini, J. P. ;
Fliescher, S. ;
Grayson, J. ;
Hall, G. ;
Halpern, M. ;
Harrison, S. ;
Hildebrandt, S. R. ;
Hilton, G. C. ;
Hui, H. ;
Irwin, K. D. ;
Kang, J. ;
Karkare, K. S. ;
Karpel, E. ;
Kaufman, J. P. ;
Keating, B. G. ;
Kefeli, S. ;
Kernasovskiy, S. A. ;
Kovac, J. M. ;
Kuo, C. L. ;
Larsen, N. A. ;
Lau, K. ;
Leitch, E. M. ;
Lueker, M. ;
Megerian, K. G. ;
Moncelsi, L. ;
Namikawa, T. ;
Netterfield, C. B. ;
Nguyen, H. T. ;
O'Brient, R. ;
Ogburn, R. W. .
PHYSICAL REVIEW LETTERS, 2018, 121 (22)
[2]   Planck 2018 results: VIII. Gravitational lensing [J].
Aghanim, N. ;
Akrami, Y. ;
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. ;
Calabrese, E. ;
Cardoso, J. -F. ;
Carron, J. ;
Challinor, A. ;
Chiang, H. C. ;
Colombo, L. P. L. ;
Combet, C. ;
Crill, B. P. ;
Cuttaia, F. ;
de Bernardis, P. ;
de Zotti, G. ;
Delabrouille, J. ;
Di Valentino, E. ;
Diego, J. M. ;
Dore, O. ;
Douspis, M. ;
Ducout, A. ;
Dupac, X. ;
Efstathiou, G. ;
Elsner, F. ;
Ensslin, T. A. ;
Eriksen, H. K. ;
Fantaye, Y. ;
Fernandez-Cobos, R. ;
Finelli, F. ;
Forastieri, F. ;
Frailis, M. ;
Fraisse, A. A. ;
Franceschi, E. .
ASTRONOMY & ASTROPHYSICS, 2020, 641 (641)
[3]   Statefinder and Om Diagnostics for New Generalized Chaplygin Gas Model [J].
Al Mamon, Abdulla ;
Dubey, Vipin Chandra ;
Bamba, Kazuharu .
UNIVERSE, 2021, 7 (10)
[4]   Relativistic distortions in the large-scale clustering of SDSS-III BOSS CMASS galaxies [J].
Alam, Shadab ;
Zhu, Hongyu ;
Croft, Rupert A. C. ;
Ho, Shirley ;
Giusarma, Elena ;
Schneider, Donald P. .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2017, 470 (03) :2822-2833
[5]   Exploring the expanding Universe and dark energy using the statefinder diagnostic [J].
Alam, U ;
Sahni, V ;
Saini, TD ;
Starobinsky, AA .
MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY, 2003, 344 (04) :1057-1074
[6]   SPECTRA AND HUBBLE SPACE TELESCOPE LIGHT CURVES OF SIX TYPE Ia SUPERNOVAE AT 0.511 < z < 1.12 AND THE UNION2 COMPILATION [J].
Amanullah, R. ;
Lidman, C. ;
Rubin, D. ;
Aldering, G. ;
Astier, P. ;
Barbary, K. ;
Burns, M. S. ;
Conley, A. ;
Dawson, K. S. ;
Deustua, S. E. ;
Doi, M. ;
Fabbro, S. ;
Faccioli, L. ;
Fakhouri, H. K. ;
Folatelli, G. ;
Fruchter, A. S. ;
Furusawa, H. ;
Garavini, G. ;
Goldhaber, G. ;
Goobar, A. ;
Groom, D. E. ;
Hook, I. ;
Howell, D. A. ;
Kashikawa, N. ;
Kim, A. G. ;
Knop, R. A. ;
Kowalski, M. ;
Linder, E. ;
Meyers, J. ;
Morokuma, T. ;
Nobili, S. ;
Nordin, J. ;
Nugent, P. E. ;
Ostman, L. ;
Pain, R. ;
Panagia, N. ;
Perlmutter, S. ;
Raux, J. ;
Ruiz-Lapuente, P. ;
Spadafora, A. L. ;
Strovink, M. ;
Suzuki, N. ;
Wang, L. ;
Wood-Vasey, W. M. ;
Yasuda, N. .
ASTROPHYSICAL JOURNAL, 2010, 716 (01) :712-738
[7]   Conditions for the cosmological viability of f(R) dark energy models [J].
Amendola, Luca ;
Gannouji, Radouane ;
Polarski, David ;
Tsujikawa, Shinji .
PHYSICAL REVIEW D, 2007, 75 (08)
[8]   Do consistent F(R) models mimic general relativity plus Λ? [J].
Appleby, Stephen A. ;
Battye, Richard A. .
PHYSICS LETTERS B, 2007, 654 (1-2) :7-12
[9]   Energy conditions in modified f(G) gravity [J].
Bamba, Kazuharu ;
Ilyas, M. ;
Bhatti, M. Z. ;
Yousaf, Z. .
GENERAL RELATIVITY AND GRAVITATION, 2017, 49 (08)
[10]   Twilight for the energy conditions? [J].
Barceló, C ;
Visser, M .
INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2002, 11 (10) :1553-1560