Energy Conditions with Interacting Field in f(R) Gravity

Authors

DOI:

https://doi.org/10.26565/2312-4334-2023-3-04

Keywords:

FLRW cosmological model, f(R) gravity, Interacting field, Hubble’s law

Abstract

In the context of current scenario, it is crucial to look beyond Einstein’s theory, which opens the door to certain modified theories of gravity. So, present study is devoted to investigate the various energy conditions, particularly, strong energy condition (SEC), weak energy condition (WEC), null energy condition (NEC) and dominant energy condition (DEC) corresponding to different functional forms of f(R) gravity. We have studied for flat, isotropic and homogeneous FLRW cosmological model filled with interacting field i.e., perfect fluid is coupled with mass less scalar field for different models of modified f(R) gravity in which R is the Ricci scalar. We have observed, the accelerated expansion of the Universe which exact match with recent observational evidences.

References

A.G. Riess, et al., Astron. J. 116, 1009 (1998). https://doi.org/10.1086/300499

S. Perlmutter, et al., Astrophys. J. 517, 565 (1999). https://doi.org/10.1086/307221

C.L. Bennet, et al., Astrophys. J. Suppl. 148, 1 (2003). https://doi.org/10.1086/377253

A.G. Riess, et al., Astrophys. J. 607, 665 (2004). https://doi.org/10.1086/383612

D.J. Eisenstein, et al. Astrophys. J. 633, 560 (2005). https://doi.org/10.1103/RevModPhys.75.559

P. Astier, et al., Astron. Astrophys. 447, 31 (2006). https://doi.org/10.1051/0004-6361:20054185

T. Padmanabhan, Phys. Rept. 380, 235 (2003). https://doi.org/10.1016/S0370-1573

P.J.E. Peebles, and B. Ratra, Rev. Mod. Phys. 75, 559 (2003). https://doi.org/10.1103/RevModPhys.75.559

S. Nojiri, and S. Odintsov, Phys. Rev. D, 68, 123512 (2003). https://doi.org/10.1103/PhysRevD.68.123512

R. Femaro, and F. Fiorini, Phys. Rev. D, 75, 084031 (2007). https://doi.org/10.1103/PhysRevD.75.084031

S. Nojiri, S. Odinstov, and P. Tretyakov, Prog. Theor. Phys. Suppl. 172, 81 (2008). https://doi.org/10.1143/PTPS.172.81

T. Harko, F.S.N. Lobo, S. Nojiri, and S.D. Odintsov, Phys. Rev. D, 84, 024020 (2011). https://doi.org/10.1103/PhysRevD.84.024020

H.A. Buchadahl, Mon. Not. Roy. Astron. Soc. 150, 1 (1970). https://doi.org/10.1093/mnras/150.1.1

S. Nojiri, and S.D. Odintsov, Int. J. Geom. Meth. Mod. Phys. 4, 115 (2007). https://doi.org/10.1142/S0219887807001928

T. Multamaki, and I. Vilja, Phys. Rev. D, 74, 064022 (2006). https://doi.org/10.1103/PhysRevD.74.064022

T. Multamaki, and I. Vilja, Phys. Rev. D, 76, 064021 (2007). https://doi.org/10.1103/PhysRevD.76.064021

M.F. Shamir, Astrophys. Space Sci, 330, 183 (2010). https://doi.org/10.1007/s10509-010-0371-5

M. Sharif, and H.R. Kausar, Phys. Lett. B, 697, 1 (2011). https://doi.org/10.1016/j.physletb.2011.01.027

M.F. Shamir, Int. J. Theor. Phys. 50, 637 (2011). https://doi.org/10.1007/s10773-010-0587-8

K.S. Adhav, Bulg. J. Phys. 39, 197 (2012). https://www.bjp-bg.com/papers/bjp2012 3 197-206.pdf

M.F. Shamir, and Z. Raza, Can. J. Phys. 93, 1 (2015). https://doi.org/10.1139/cjp-2014-0338

S.D. Katore, S.P. Hatkar, and R.J. Baxi, Found. of Phys. 46, 409 (2016). https://doi.org/10.1007/s10701-015-9970-x

S.R. Bhoyar, V.R. Chirde, and S.H. Shekh, Prespacetime J. 7(3), 456 (2016). https://prespacetime.com/index.php/pst/article/viewFile/915/907

M.V. Santhi, V.U.M. Rao and Y. Aditya, Can. J. Phys. 96, 1 (2017). https://doi.org/10.1139/cjp-2017-0256

A.V. Astashenok, S.D. Odintsov, and A. Cruz-Dombriz, Class. Quantum Grav. 34, 205008 (2017). https://doi.org/10.1088/1361-6382/aa8971

M.V. Santhi, Y. Sobhanbabu, and B.J.M. Raoz, J. Phys.: Conf. Ser. 1344, 012038 (2019). https://doi.org/1088/1742-6596/1344/1/012038

A.H. Hasmani, and A.M. Al-Haysah, Appl. Appl. Math, 14, 334 (2019). https://digitalcommons.pvamu.edu/cgi/viewcontent.cgi?article=1717andcontext=aam

S.D. Katore, and S.V. Gore, J. Astrophys. Astr. 41, 12 (2020). https://doi.org/10.1007/s12036-020-09632-z

A.M. Al-Haysah, and A.H. Hasmani, Heliyon, 7(9), e08063 (2021). https://doi.org/10.1016/j.heliyon.2021.e08063

V.U.M. Rao, M.V. Santhi, and Y. Aditya, Prespacetime J. 6(6), 531-539 (2015). https://prespacetime.com/index.php/pst/article/download/749/752

D.D. Pawar, V.J. Dagwal, and P.K. Agrawal, Malaya J. Mat. 4(1), 111 (2016). https://www.malayajournal.org/articles/MJM16 14.pdf

G.K. Goswami, A. Pradhan, M. Mishra, and A. Beesham, New Astronomy, 73, 101284 (2019). https://doi.org/10.1016/j.newast.2019.101284

S.V. Lohakare, F. Tello-Ortiz, S.K. Tripathy, and B. Mishra, Universe, 8(12), 636 (2022). https://doi.org/10.3390/universe8120636

V.R. Patil, J.L. Pawde, and R.V. Mapari, IJIERT, 9, 4 (2022). https://dx.doi.org/10.17605/OSF.IO/QABKV

D.D. Pawar, D.K. Raut, and W.D. Patil, Pramana J. Phys. 96, 133 (2022). https://doi.org/10.1007/s12043-022-02364-5

S.N. Bayskar, D.D. Pawar, and A.G. Deshmukh, Rom. Journ. Phys. 54, 763 (2009). http://www.nipne.ro/rjp/2009 54 7-8.html

D.D. Pawar, and R.V. Mapari, J. Dyn. Systems and Geom. Theories, 20(1), 115-136 (2022). https://doi.org/10.1080/1726037X.2022.2079268

B. Saha, H. Amirhashchi, and A. Pradhan, Astrophys. Space Sci. 342, 257 (2012). https://doi.org/10.1007/s10509-012-1155-x

V.R. Chirde, and S.H. Shekh, The African Rev. Phys. 9, 0050 (2014). http://lamp.ictp.it/index.php/aphysrev/article/view/971/393

J. Satish, and R. Venkateswarlu, Bulg. J. Phys. 46, 67 (2019). https://www.bjp-bg.com/papers/bjp2019 1 067-079.pdf

V.J. Dagwal, and D.D. Pawar, Mod. Phys. Lett. A, 35(04), 1950357 (2020). https://doi.org/10.1142/S0217732319503577

S.P. Hatkar, P. Agre, and S.D. Katore, Ann. Appl. Sci. 1, 659 (2022). https://doi.org/10.55085/aas.2022.659

A. Raychaudhuri, Phys. Rev. 98, 1123 (1955). https://doi.org/10.1103/PhysRev.98.1123

S. Nojiri, and S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007). https://doi.org/10.1142/S0219887807001928

N.W. Halverson, E.M. Leitch, and Pryke et. al., Astrophys. J. 568, 38 (2002). https://doi.org/10.1086/338879

J. Ehlers, Int. J. Mod. Phys. D, 15, 1573 (2006). https://doi.org/10.1142/S0218271806008966

S. Mandal, P.K. Sahoo, and J.R.L. Santos, Physical Review D, 102(2), 024057 (2020). https://doi.org/10.1103/PhysRevD.102.024057

P.K. Sahoo, S. Mandal, and S. Arora, Astron. Nachr. 342, 89 (2021). https://doi.org/10.1002/asna.202113886

S.H. Shekh, V.R. Chirde, and P.K. Sahoo, Commun. Theor. Phys. 72, 085402 (2020). https://doi.org/10.1088/1572-9494/ab95fd

Downloads

Published

2023-09-04

How to Cite

Energy Conditions with Interacting Field in f(R) Gravity. (2023). East European Journal of Physics, 3, 62-74. https://doi.org/10.26565/2312-4334-2023-3-04

Most read articles by the same author(s)