Abstract
We consider a modified gravity theory, \(f(R) = R + \alpha R^n - \tfrac{{\mu ^4 }} {{R^m }}\), in the metric formulation and analyze the contribution of the electromagnetic field on the range of dynamical instability of a star filled with anisotropic matter. The collapse equation is developed by applying conservation on anisotropic matter, Maxwell source and dark source terms arising due to f(R) gravity. A specific perturbation scheme is implemented and it is observed that the inclusion of Maxwell source slows down the collapse and makes the system more stable in Newtonian regime. Also, we make a comparison of our results with the existing literature.
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References
P.S. Joshi, D. Malafarina, Int. J. Mod. Phys. D 20, 2641 (2011).
C. Hansen, S. Kawaler, Stellar Interiors: Physical Principles, Structure and Evolution (Springer Verlag, 1994).
R. Kippenhahn, A. Weigert, Stellar Structure and Evolution (Springer Verlag, 1990).
M. Schwarzschild, Structure and Evolution of the Stars (Dover, 1958).
S. Chandrasekhar, Astrophys. J. 140, 417 (1964).
W. Hillebrandt, K.O. Steinmetz, Astron. Astrophys. 2, 53 (1976).
R. Chan et al., Mon. Not. R. Astron. Soc. 239, 91 (1989).
R. Chan, L. Herrera, N.O. Santos, Mon. Not. R. Astron. Soc. 265, 533 (1993).
R. Chan, L. Herrera, N.O. Santos, Mon. Not. R. Astron. Soc. 267, 637 (1994).
R. Chan et al., Mon. Not. R. Astron. Soc. 316, 588 (2000).
L. Herrera, N. Santos, Mon. Not. R. Astron. Soc. 343, 1207 (2003).
L. Herrera, N.O. Santos, G. Le Denmat, Mon. Not. R. Astron. Soc. 237, 257 (1989).
L. Herrera, N.O. Santos, G. Le Denmat, Gen. Relativ. Gravit. 44, 1143 (2012).
L. Herrera, N.O. Santos, Phys. Rev. D 70, 084004 (2004).
T.P. Sotiriou, V. Faraoni, Rev. Mod. Phys. 82, 451 (2010).
S. Capozziello, V. Faraoni, Beyond Einstein Gravity (Springer, New York, 2011).
S. Nojiri, S.D. Odintsov, Phys. Rep. 505, 59 (2011).
M. Sharif, H.R. Kausar, J. Phys. Soc. Jpn. 80, 044004 (2011).
M. Sharif, H.R. Kausar, Mod. Phys. Lett. A 25, 3299 (2010).
M. Sharif, H.R. Kausar, Int. J. Mod. Phys. D 20, 2239 (2011).
M. Sharif, H.R. Kausar, J. Astrophys. Space Sci. 337, 805 (2012).
M. Sharif, H.R. Kausar, J. Astrophys. Space Sci. 331, 281 (2011).
M. Sharif, H.R. Kausar, J. Phys. Conf. Ser. 354, 012020 (2012).
M. Sharif, H.R. Kausar, JCAP 07, 022 (2011).
H.R. Kausar, JCAP 01, 007 (2013).
I. Noureen, M. Zubair, Astrophys. Space Sci. 355, 2202 (2014).
I. Noureen, M. Zubair, Eur. Phys. J. C 75, 62 (2015).
M. Zubair, I. Noureen, Eur. Phys. J. C 75, 265 (2015).
I. Noureen, A.A. Bhatti, M. Zubair, JCAP 02, 033 (2015).
I. Noureen, M. Zubair, A.A. Bhatti, G. Abbas, Eur. Phys. J. C 75, 323 (2015).
S.M. Carroll et al., New J. Phys. 8, 323 (2006).
R. Bean et al., Phys. Rev. D 75, 064020 (2007).
F. Schmidt, Phys. Rev. D 78, 043002 (2008).
Y.S. Song, W. Hu, I. Sawicki, Phys. Rev. D 75, 044004 (2007).
A.P. Kouretsis, C.G. Tsagas, Phys. Rev. D 82, 124053 (2010).
M. Sharif, M. Azam, JCAP 2, 043 (2012).
M. Sharif, Z. Yousaf, Mon. Not. R. Astron. Soc. 434, 2529 (2013).
M. Sharif, Z. Yousaf, Phys. Rev. D 88, 024020 (2013).
H.R. Kausar, I. Noureen, Eur. Phys. J. C 74, 2760 (2014).
M. Sharif, M. Azam, Gen. Relativ. Gravit. 44, 1181 (2012).
G. Darmois, Memorial des Sciences Mathematiques (Gautheir-Villars, 1927) Fasc. 25.
W. Israel, Nuovo Cimento B 44, 1 (1966).
W. Israel, Nuovo Cimento B 48, 463 (1967) (Erratum).
C.W. Misner, D. Sharp, Phys. Rev. B 136, 571 (1964).
S. Capozziello et al., Phys. Rev. D 85, 044022 (2012).
S. Capozziello, M. De Laurentis, M. Francaviglia, Astropart. Phys. 29, 125 (2008).
M. De Laurentis, S. Capozziello, Astropart. Phys. 35, 257 (2011).
H.R. Kausar, Mon. Not. R. Astron. Soc. 439, 1536 (2014).
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Rizwana Kausar, H., Noureen, I. & Shahzad, M. Dynamical analysis of charged anisotropic spherical star in f(R) gravity. Eur. Phys. J. Plus 130, 204 (2015). https://doi.org/10.1140/epjp/i2015-15204-4
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DOI: https://doi.org/10.1140/epjp/i2015-15204-4