Abstract
The main purpose of this paper is to study the exact solution of Bianchi type III spacetime in the context of metric f(R) gravity. The field equations are solved by taking expansion scalar θ proportional to shear scalar σ which gives C=A n, where A and C are the metric coefficients. The physical behavior of the solution has been discussed using some physical quantities. Also, the function of the Ricci scalar is evaluated.
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Nojiri, S., Odintsov, S.D.: Problems of Modern Theoretical Physics, pp. 266–285. TSPU Publishing, Tomsk (2008). A Volume in honour of Prof. Buchbinder, I.L. in the occasion of his 60th birthday. arXiv:0807.0685
Sotiriou, T.P., Faraoni, V.: Rev. Mod. Phys. (to be published). arXiv:0805.1726
Babichev, E., Langlois, D.: Phys. Rev. D 80, 121501 (2009)
Appleby, S.A., Battye, R.A.: J. Cosmol. Astropart. Phys. 05, 19 (2008)
Capozziello, S., Corda, C., Laurentis, M.F.D.: Phys. Lett. B 669, 225 (2008)
Starobinsky, A.A.: JETP Lett. 86, 157 (2007)
Nojiri, S., Odintsov, S.D.: Int. J. Geom. Meth. Mod. Phys. 115, 4 (2007)
Lobo, F.S.N., Oliveira, M.A.: Phys. Rev. D 80, 104012 (2009)
Cognola, G., Elizalde, E., Nojiri, S., Odintsov, S.D., Zerbini, S.: J. Cosmol. Astropart. Phys. 0502, 010 (2005)
Multamäki, T., Vilja, I.: Phys. Rev. D 74, 064022 (2006)
Multamäki, T., Vilja, I.: Phys. Rev. D 76, 064021 (2007)
Capozziello, S., Stabile, A., Troisi, A.: Class. Quantum Gravity 24, 2153 (2007)
Hollenstein, L., Lobo, F.S.N.: Phys. Rev. D 78, 124007 (2008)
Azadi, A., Momeni, D., Nouri-Zonoz, M.: Phys. Lett. B 670, 210 (2008)
Momeni, D., Gholizade, H.: Int. J. Mod. Phys. D 18, 1 (2009)
Reboucas, M.J., Santos, J.: Phys. Rev. D 80, 063009 (2009)
Sharif, M., Shamir, M.F.: Mod. Phys. Lett. A 25, 1281 (2010)
Sharif, M., Kausar, H.R.: Non-vacuum Static Spherically Symmetric Solutions in f(R) Gravity. Submitted for publication
Lorenz-Petzold, D.: Astrophys. Space Sci. 85, 59 (1982)
Hanquin, J.L., Demaret, J.: Class. Quantum Gravity 1, 291 (1984)
Tikekar, R., Patel, L.K.: Gen. Relativ. Gravit. 24, 397 (1992)
Yavuz, I., Yilmaz, I.: Astrophys. Space Sci. 245, 131 (1996)
Christodoulakis, T., Terzis, P.A.: Class. Quantum Gravity 24, 875–887 (2007)
Bagora, A.: Astrophys. Space Sci. 319, 155 (2009)
Moussiaux, A., Tombal, P., Demaret, J.: J. Phys. A, Math. Gen. 14, 277 (1981)
Xing-Xiang, W.: Chin. Phys. Lett. 22, 29 (2005)
Upadhaya, R.D., Dave, S.: Braz. J. Phys. 38, 4 (2008)
Singh, T., Agrawal, A.K.: Astrophys. Space Sci. 182, 289 (1991)
Adhav, K.S., Ugale, M.R., Kale, C.B., Bhende, M.P.: Int. J. Theor. Phys. 48, 178 (2009)
Paul, B.C., Debnath, P.S., Ghose, S.: Phys. Rev. D 79, 083534 (2009)
Sharif, M., Shamir, M.F.: Class. Quantum Gravity 26, 235020 (2009)
Sharif, M., Shamir, M.F.: Gen. Relativ. Gravit. 42, 2643–2655 (2010)
Shamir, M.F.: Astrophys. Space Sci. 330, 183–189 (2010)
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Shamir, M.F. Plane Symmetric Vacuum Bianchi Type III Cosmology in f(R) Gravity. Int J Theor Phys 50, 637–643 (2011). https://doi.org/10.1007/s10773-010-0587-8
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DOI: https://doi.org/10.1007/s10773-010-0587-8