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Bianchi Type-III Cosmological Model in f(R) Theory of Gravity


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1 Department of Mathematics, Sant Gadge Baba Amravati University, Amravati (India) 444602, India
     

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The exact solutions of the field equations in respect of Bianchi type-III space time filled with perfect fluid in the framework of f(R) gravity are derived. The physical behavior of the model is studied. The function f(R) of the Ricci scalar is also evaluated for the model. This model represents continuously expanding, shearing universe (from the start of the big bang) currently entering into phantom phase.

Keywords

f(R) Theory of Gravity, Bianchi type-III Space-time, Perfect Fluid. PACs: 04.50 Kd, 98.80.
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  • Adhav et al. : Int.J.Theor. Phys. 47, 2002 (2008): DOI 10.1007/s10773-007-9644-3.
  • Adhav et al. : Int.J.Theor. Phys. 48, 178 (2009).
  • Akbar, M., Cai, R.G. : Phys. Lett. B 635, 7 (2006).
  • Alam et al. : Mon.Not. R. Astron. Soc. 354, 275 (2004).
  • Appelquist et al. : Modern Kaluza Klein Theories, Addison- Wesley, Reading(1987).
  • Atazadej, et al. : Phys.Lett. B 660, 275 (2008).
  • Banerjee, S., Bhui, B.: Mon. Not. R. Astron. Soc. 247, 57 (1990).
  • Bagora, A.: Astrophys. Space Sci. 319, 155 (2009).
  • Bellini, M.: Nucl.Phys. B660, 389 (2003).
  • Bennett et al. : Astrophys. J. Suppl. 148 ,1 (2003).
  • Bertolami et al.: Mon. Not. R. Astron. Soc. 353, 329 (2004).
  • Carames, TRP, Bezerra, E.R. : Eur.Phys.J. C , 64, 113 (2009).
  • Chodos, A., Detweller, S.: Phys. Rev. D 21, 2167 (1980).
  • Christodoulakis et al : Class. Quan. Grav. 24, 875 (2007).
  • Cognola, et al. : Phys.Rev. D 73, 084007 (2006).
  • Collins, et al. : Particle Physics and Cosmology.Wiley,London (1989).
  • Corda, C. : Europhys. Lett. 86, 20004 (2009).
  • Corda, C.: Astropart. Phys. 34, 587 (2011).
  • De’Souza,J.C.,Faraoni,V.: Class.Quantum Grav. 24, 3637 (2007).
  • Dev et al. : Phys. Rev. D 78, 083515 (2008).
  • Frolov,A.V.: Phys. Rev. Lett. 101, 061103 (2008).
  • Gleiser, R.J., Diaz, M.C.: Phys. Rev. D 37, 3761 (1988).
  • Hinshaw et al. : Astrophys. J. Suppl. 148, 135 (2003).
  • Ibanez, J., Verdaguer, E.: Phys. Rev. D 34, 1202 (1986).
  • Johri,V.B.,Desikan,K.: Gen.Relativ.Grav. 26, 1217 (1994).
  • KaluzaT.:Zum Unitats Prob der Physik Sitz Press.Akad.Wiss.Phys.Math.K1,966(1921).
  • Khadekar, G.S., Gaikwad, M.: Proc. Einstein Found. Int. 11, 95 (2001).
  • Klein,O.: Zeits.Phys.37,895(1926).
  • KotubUddin et al. : Class. Quantum Grav. 24 , 3951 (2007).
  • Lecian, O.M., Montani. G.: Class Quant. Grav. 26, 045014 (2009).
  • Lee, H.C.: An Introduction to Kaluza Klein Theories.World Scientific,Singapore(1984).
  • Lorenz-Petzold , D. : Astrophys. Space Sci. 85, 59 (1982).
  • Moussiaux et al : J.Phys. A . Maths. Gen. 14, 277 (1981).
  • Multamaki,T., Vilja, I. : Phys. Rev. D 74, 064022 (2006).
  • Multamaki,T., Vilja, I. : Phys. Rev. D 76, 064021(2007).
  • Nojiri S : Int. J. Geom. Meth. Mod.Phys. 4 , 115 (2007).
  • Nojiri S and Odintsov S D : J. Phys. Conf.Ser. 66, 012005 (2007).
  • Nojiri S and Odintsov S D : Phys. Rev. D 78, 046006 (2008).
  • Overdin, J.M.,Wesson,P.S.: Phys.Rep.283, 303 (1997).
  • Perlmutter et al. : Astrophys. J. 517 , 565 (1999).
  • Reddy, D.R.K., Venkateswara Rao, N.: Astrophys. Space Sci. 277, 461 (2001).
  • Reddy et al. : Int. J. Theor. Phys. 48, 2884 (2009).
  • Riess et al. : Astron. J. 116 ,1009 (1998).
  • Saha, B.: Mod. Phys. Lett. A 20, 2127 (2005).
  • Santose et al. : Phys Lett. B 669, 14 (2008).
  • Shamir, M.F. : Int. J. Theor. Phys. 50, 637 (2011).
  • Sharif, M., Kausar, H.R. : arXiv : 1102.4124v1 (2011).
  • Sharif, M., Kausar, H.R.. : AstroPhys. Space Sci. 332, 463 (2011).
  • Sharif, M., Kausar, H.R: arXiv : 1101.3372v1 (2011).
  • Sharif,M.,Shamir,M.F. : Class. Quantum Grav. 26 , 235020 (2009) .
  • Sharif,M.,Shamir,M.F. : Gen. Relativ. Grav. 42, 1557 (2010).
  • Singh, T., Agrawal,A.K. : Astrophys. Space Sci. 182, 289 (1991).
  • Singh et al. : Phys. Rev. D 68, 023522 (2003).
  • Singh et al. : Int. J. Theor. Phys. 47 , 3162 (2008).
  • Sotiriou, T.P. : Phys. Lett. B 645, 389 (2007).
  • Sotiriou,T.P., Faraoni, V. : Rev. Mod. Phys. 82, 451 (2010).
  • Sotiriou, T.P.: Class. Quant. Grav. 23, 5117 (2006).
  • Sotiriou, T.P.: Gen. Relativ. Grav. 38, 1407 (2006).
  • Upadhaya et al. : Braz. J. Phys. 38, 4 (2008).
  • Vassilevich, D.V.: Phys. Rep. 388, 279 (2003).
  • Weinberg, S.: Physics in Higher Dimensions. World Scientific, Singapore (1986).
  • Wesson, P.S.:Gen.Reltiv.Gravt.16,193(1984).
  • Wesson, P.S: Space-time Matter Theory .World Scientific, Singapore (1999).
  • Xing-Xiang , W. : Chin. Phys. Lett. 22, 29 (2005).

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  • Bianchi Type-III Cosmological Model in f(R) Theory of Gravity

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Authors

K.S. Adhav
Department of Mathematics, Sant Gadge Baba Amravati University, Amravati (India) 444602, India

Abstract


The exact solutions of the field equations in respect of Bianchi type-III space time filled with perfect fluid in the framework of f(R) gravity are derived. The physical behavior of the model is studied. The function f(R) of the Ricci scalar is also evaluated for the model. This model represents continuously expanding, shearing universe (from the start of the big bang) currently entering into phantom phase.

Keywords


f(R) Theory of Gravity, Bianchi type-III Space-time, Perfect Fluid. PACs: 04.50 Kd, 98.80.

References