Abstract.
This paper studies the effects of inhomogeneous fluid configurations on the evolution of relativistic spheres within the context of electromagnetic field and fourth order gravity. We assume a compact distribution of spherical structure that evolves due to the curvature influences coming from f (R) gravity model and non-ideal matter source. After calculating the corresponding f (R) equations of motion, an explicit formulation among Weyl scalar, dark dynamical scalars and material variables is developed. With f (R) curvature and charged fluid terms, all the non-zero dynamical variables are presented from the orthogonal decomposition the Riemann curvature tensor. The Raychaudhuri, Weyl scalar and shearing equations are formulated through modified scalar functions with and without varying Ricci scalar for perfect and imperfect spherical systems.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
S. Nojiri, S.D. Odintsov, Phys. Lett. B 639, 144 (2006)
K. Bamba, S. Capozziello, S. Nojiri, S.D. Odintsov, Astrophys. Space Sci. 342, 155 (2012)
A. Qadir, H.W. Lee, K.Y. Kim, Int. J. Mod. Phys. D 26, 1741001 (2017)
S. Capozziello, M. De Laurentis, Phys. Rep. 509, 167 (2011)
K. Bamba, S. Nojiri, S.D. Odintsov, arXiv:1302.4831 (2013)
Z. Yousaf, K. Bamba, M.Z. Bhatti, Phys. Rev. D 93, 124048 (2016)
Z. Yousaf, K. Bamba, M.Z. Bhatti, Phys. Rev. D 93, 064059 (2016)
S. Nojiri, S.D. Odintsov, Int. J. Geom. Methods Mod. Phys. 4, 115 (2007)
S. Nojiri, S.D. Odintsov, arXiv:0807.0685 (2008)
P.H.R.S. Moraes, P.K. Sahoo, Phys. Rev. D 97, 024007 (2018)
B. Mishra, S. Tarai, S.K. Tripathy, arXiv:1709.10399 (2017)
A. Di Prisco, L. Herrera, G. Le Denmat, M.A.H. MacCallum, N.O. Santos, Phys. Rev. D 76, 064017 (2007)
L. Herrera, N.O. Santos, Class. Quantum Grav. 22, 2407 (2005)
H.A. Buchdahl, Mon. Not. R. Astron. Soc. 150, 1 (1970)
G.J. Olmo, D. Rubiera-Garcia, Phys. Rev. D 84, 124059 (2011)
G.J. Olmo, D. Rubiera-Garcia, Universe 1, 173 (2015)
D.R.K. Reddy, R.L. Naidu, K.D. Naidu, T.R. Prasad, Astrophys. Space Sci. 346, 261 (2013)
C. Bambi, A. Cardenas-Avendano, G.J. Olmo, D. Rubiera-Garcia, Phys. Rev. D 93, 064016 (2016)
P.K. Sahoo, P.H.R.S. Moraes, P. Sahoo, arXiv:1709.07774 (2017)
K. Bamba, C.-Q. Geng, C.-C. Lee, J. Cosmol. Astropart. Phys. 08, 021 (2010)
K. Bamba, M. Ilyas, M.Z. Bhatti, Z. Yousaf, Gen. Relativ. Gravit. 49, 112 (2017)
V.K. Oikonomou, Gen. Relativ. Gravit. 45, 2467 (2013)
K. Bamba, S.D. Odintsov, J. Cosmol. Astropart. Phys. 04, 024 (2008)
Z. Yousaf, M. Sharif, M. Ilyas, M.Z. Bhatti, Int. J. Geom. Methods Mod. Phys. 15, 1850146 (2018)
Z. Yousaf, M.Z. Bhatti, U. Farwa, Class. Quantum Grav. 34, 145002 (2017)
Z. Yousaf, M.Z. Bhatti, U. Farwa, Eur. Phys. J. C 77, 359 (2017)
Z. Yousaf, M.Z. Bhatti, U. Farwa, Mon. Not. R. Astron. Soc. 464, 4509 (2017)
E. Elizalde, S. Nojiri, S.D. Odintsov, L. Sebastiani, S. Zerbini, Phys. Rev. D 83, 086006 (2011)
S.D. Odintsov, V.K. Oikonomou, L. Sebastiani, Nucl. Phys. B 923, 608 (2017)
R. Penrose, Singularities and time asymmetry, in General Relativity: An Einstein Centenary Survey, edited by S.W. Hawiking, W. Israel (Cambridge University Press, 1979) pp. 581--638
L. Herrera, A. Di Prisco, J. Hernández-Pastora, N. Santos, Phys. Lett. A 237, 113 (1998)
K.S. Virbhadra, D. Narasimha, S.M. Chitre, Astron. Astrophys. 337, 1 (1998)
K.S. Virbhadra, G.F.R. Ellis, Phys. Rev. D 65, 103004 (2002)
L. Herrera, J. Ospino, A. Di Prisco, E. Fuenmayor, O. Troconis, Phys. Rev. D 79, 064025 (2009)
L. Herrera, A. Di Prisco, J. Martin, J. Ospino, N.O. Santos, O. Troconis, Phys. Rev. D 69, 084026 (2004)
L. Herrera, N.O. Santos, A. Wang, Phys. Rev. D 78, 084026 (2008)
M. Sharif, Z. Yousaf, Chin. Phys. Lett. 29, 050403 (2012)
M.Z. Bhatti, Eur. Phys. J. Plus 131, 428 (2016)
Z. Yousaf, Eur. Phys. J. Plus 132, 276 (2017)
Z. Yousaf, Eur. Phys. J. Plus 132, 71 (2017)
Z. Yousaf, M.Z. Bhatti, Mon. Not. R. Astron. Soc. 458, 1785 (2016)
Z. Yousaf, Astrophys. Space Sci. 363, 226 (2018)
Z. Yousaf, K. Bamba, M.Z. Bhatti, Phys. Rev. D 95, 024024 (2017)
L. Herrera, A. Di Prisco, J. Ospino, Gen. Relativ. Gravit. 44, 2645 (2012)
M. Sharif, M.Z. Bhatti, Mod. Phys. Lett. A 27, 1250141 (2012)
M.Z. Bhatti, Z. Yousaf, M. Ilyas, Eur. Phys. J. C 77, 690 (2017)
L. Herrera, A. Di Prisco, J. Ibáñez, Phys. Rev. D 84, 107501 (2011)
M. Sharif, Z. Yousaf, Gen. Relativ. Gravit. 47, 48 (2015)
M. Sharif, Z. Yousaf, Can. J. Phys. 93, 905 (2015)
S. Capozziello, C.A. Mantica, L.G. Molinari, Int. J. Geom. Methods Mod. Phys. 16, 1950008 (2019)
R.C. Nunes, S. Pan, E.N. Saridakis, E.M.C. Abreu, J. Cosmol. Astropart. Phys. 2017, 005 (2017)
C.W. Misner, D.H. Sharp, Phys. Rev. 136, B571 (1964)
L. Herrera, A. Di Prisco, J. Ibáñez, Phys. Rev. D 84, 064036 (2011)
L. Herrera, Entropy 19, 110 (2017)
Z. Yousaf, M.Z. Bhatti, A. Rafaqat, Astrophys. Space Sci. 362, 68 (2017)
Z. Yousaf, M.Z. Bhatti, A. Rafaqat, Int. J. Mod. Phys. D 26, 1750099 (2017)
V.A. Skripkin, Sov. Phys. Dokl. 135, 1183 (1960)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
The EPJ Publishers remain neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Yousaf, Z., Bhatti, M.Z. & Saleem, R. Electromagnetic field and dark dynamical scalars for spherical systems. Eur. Phys. J. Plus 134, 142 (2019). https://doi.org/10.1140/epjp/i2019-12496-2
Received:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2019-12496-2