A Bianchi type- V space time is considered with linear equation of state in the scalar tensor theory of gravitation proposed by Brans and Dicke. We use the assumption of constant deceleration parameter and power law relation between scalar field <i> ø</i> and scale factor R to find the solutions. Some physical and kinematical properties of the model are also discussed.
KeywordsBianchi Type-V ModelBrans-Dicke TheoryLinear Equation of State
Einstein, A. (1916) Die Grundlage der allgemeinen Relativitatstheorie. Annals of Physics, 49, 769-822.
Jordan, P. (1955) Schwerkraft and Weltall. Friedch Vieweg and Sohn, Braunschweig, 207-213.
Brans, C.H. and Dicke, R.H. (1961) Mach’s Principle and a Relativistic Theory of Gravitation. Physical Review, 24, 925-935. http://dx.doi.org/10.1103/PhysRev.124.925
Nordtvedt, K. (1970) Post-Newtonian Metric for a General Class of Scalar-Tensor Gravitational Theories and Observational Consequences. The Astrophysical Journal, 161, 1059-1067. http://dx.doi.org/10.1086/150607
Ross, D.K. (1972) Scalar-Tensor Theory of Gravitation. Physics Review D, 5, 284-289. http://dx.doi.org/10.1103/PhysRevD.5.284
Schmidt, G., Greiner, W., Heinz, U. and Muller, B. (1981) Stability of Massive Objects in a New Scalar-Tensor Theory. Physical Review D, 24, 1484-1490. http://dx.doi.org/10.1103/PhysRevD.24.1484
Singh, T. and Rai, L.N. (1983) Scalar Tensor Theories of Gravitation Foundations & Prospects. General Relativity and Gravitation, 15, 875-902. http://dx.doi.org/10.1007/BF00778798
Nariai, H. (1972) Hamilton Approach to the Dynamics of Expanding Homogeneous Universe in the Brans-Dicke Cosmology. Progress of Theoretical Physics, 47, 1824-1843. http://dx.doi.org/10.1143/PTP.47.1824
Reddy, D.R.K. and Rao, V.U.M. (1981) Field of Charged Particle in Brans-Dicke Theory of Gravitation. Journal of Physics: Mathematical and General, 14, 1973-1976. http://dx.doi.org/10.1088/0305-4470/14/8/021
Banerjee, A. and Santos, N.O. (1982) Bianchi Type II Cosmological Models in Brans-Dicke Theory. Nuovo Cimento B, 67, 31-40. http://dx.doi.org/10.1007/BF02721068
Singh, T., Rai, L.N. and Singh, T. (1983) An Anisotropic Cosmological Model in Brans-Dicke Theory. Astrophysics and Space Science, 96, 95-105. http://dx.doi.org/10.1007/BF00661944
Ram, S. (1983) Spatially Homogeneous and Anisotropic Cosmology Solution in Brans-Dicke Theory. General Relativity and Gravitation, 15, 635-640. http://dx.doi.org/10.1007/BF00759040
Ram, S. and Singh, D.K. (1984) LRS Bianchi Type-V Vacuum Cosmological Solution in Brans-Dicke Theory. Astrophysics and Space Science, 98, 193-196. http://dx.doi.org/10.1007/BF00651959
Berman, M.S., Som, M.M. and Gomide, F.D. (1989) Brans-Dicke Static Universe. General Relativity and Gravitation, 21, 287-292. http://dx.doi.org/10.1007/BF00764101
Reddy, D.R.K., Naidu, R.L. and Rao, V.U.M. (2007) A Cosmological Model with Negative Constant Deceleration Parameter in Brans-Dicke Theory. International Journal of Theoretical Physics, 46, 1443-1448. http://dx.doi.org/10.1007/s10773-006-9283-0
Reddy, D.R.K. and Rao, N.V. (2001) Some Cosmological Model in Scalar Tensor Theory of Gravitation. Astrophysics and Space Science, 277, 461-472. http://dx.doi.org/10.1023/A:1012543323667
Reddy, D.R.K. and Rao, M.V.S. (2006) A Cosmological Model with Negative Constant Deceleration Parameter in A Scalar-Tensor Theory. Astrophysics and Space Science, 306, 171-174. http://dx.doi.org/10.1007/s10509-006-9210-0
Sáez, D. and Ballester, V.J. (1985) A Simple Coupling with Cosmological Implication. Physics Letters A, 113, 467-470. http://dx.doi.org/10.1016/0375-9601(86)90121-0
Fransworth, D.L. (1967) Some New General Relativistic Dust Metrices Possessing String Isometrices. Journal of Mathematical Physics, 8, 2315-2317. http://dx.doi.org/10.1063/1.1705157
Collins, C.B. (1974) Tilting at Cosmological Singularities. Communications in Mathematical Physics, 39, 131-151. http://dx.doi.org/10.1007/BF01608392
Maartens, R. and Nel, S.D. (1978) Decomposable Differential Operators in a Cosmological Context. Communications in Mathematical Physics, 59, 273-283. http://dx.doi.org/10.1007/BF01611507
Wainwright, J., Ince, W.C.W. and Marshman, B.J. (1979) Spatially Homogeneous and Inhomogeneous Cosmologies with Equation of State p=μ. General Relativity and Gravitation, 10, 259-271. http://dx.doi.org/10.1007/BF00759860
Nayak, B.K. and Sahoo, B.K. (1989) Bianchi Type-V Models with a Matter Distribution Admitting Anisotropic Pressure and Heat Flow. General Relativity and Gravitation, 21, 211-225. http://dx.doi.org/10.1007/BF00764095
Ram, S. (1990) Bianchi Type-V Perfect Fluid Space Times. International Journal of Theoretical Physics, 29, 901-906. http://dx.doi.org/10.1007/BF00675107
Roy, S.R. and Singh, J.P. (1983) LRS Bianchi Type-V Universe Filled with Matter and Radiation. Astrophysics and Space Science, 96, 303-312. http://dx.doi.org/10.1007/BF00651674
Roy, S.R. and Singh, J.P. (1985) A Bianchi Type-V Universe with Stiff Fluid and Electromagnetic Radiation. Australian Journal of Physics, 38, 763-768. http://dx.doi.org/10.1071/PH850763
Banerjee, A. and Sanyal, A.K. (1988) Irrotational Bianchi Type-V Viscous Fluid Cosmology with Heat Flux. General Relativity and Gravitation, 20, 103-113. http://dx.doi.org/10.1007/BF00759320
Coley, A.A. (1990) Bianchi V Imperfect Fluid Cosmology. General Relativity and Gravitation, 22, 3-18.
Bali, R. and Singh, D.K. (2005) Bianchi Type-V Bulk Viscous Fluid String Dust Cosmological Model In General Relativity. Astrophysics and Space Science, 300, 387-394. http://dx.doi.org/10.1007/s10509-005-0152-8
Bali, R. and Meena, B.L. (2004) Conformally Flat Tilted Bianchi Type-V Cosmological Models in General Relativity. Pramana, 62, 1007-1014. http://dx.doi.org/10.1007/BF02705248
Bali, R. and Jain, S. (2007) The Bianchi Type-V Magnetized String Dust Cosmological Model in General Relativity. International Journal of Modern Physics D, 16, 1769-1781. http://dx.doi.org/10.1142/S0218271807011073
Lorenz, D. (1981) An Exact Bianchi Type-V Tilted Cosmological Model with Matter and an Electromagnetic Field. General of Relativity and Gravitation, 13, 795-805. http://dx.doi.org/10.1007/BF00758217
Singh, T. and Chaubey, R. (2006) Bianchi Type-V with a Perfect Fluid and A-Term. Pramana, 67, 415-428. http://dx.doi.org/10.1007/s12043-006-0002-4
Singh, T. and Chaubey, R. (2006) Bianchi Type-V Universe with a Viscous Fluid and A-Term. Pramana, 68, 721-734. http://dx.doi.org/10.1007/s12043-007-0072-y
Singh, J.K. (2007) Some Cosmological Models with Heat and Null Radiation Flow. Astrophysics and Space Science, 310, 241-244. http://dx.doi.org/10.1007/s10509-007-9505-9
Singh, T. and Agrawal, A.K. (1993) Homogeneous Anisotropic Cosmological Models with Variable Gravitational and Cosmological “Constant”. International Journal of Theoretical Physics, 32, 1041-1059. http://dx.doi.org/10.1007/BF01215310
Pradhan, A. and Yadav, V.K. (2002) Bulk Viscous Anisotropic Cosmological Models with Variable G and Λ. International Journal of Modern Physics D, 11, 893-912. http://dx.doi.org/10.1142/S0218271802002050
Thirukkanesh, S. and Maharaj, S.D. (2008) Charged Anisotropic Matter with a Linear Equation of State. Classical and Quantum Gravity, 25, 235001.
Berman, M.S. (1983) A Special Law of Variation for Hubble’s Parameter. Il Nuovo Cimento B, 74, 182-186. http://dx.doi.org/10.1007/BF02721676
Pimentel, L.O. (1985) Exact Cosmological Solutions in Scalar-Tensor with Cosmological Constant. Astrophysics and Space Science, 112, 175-183. http://dx.doi.org/10.1007/BF00668418
Johri, V.B. and Kalyani, D. (1994) Cosmological Models with Constant Deceleration Parameter in Brans-Dicke Theory. General Relativity and Gravitation, 26, 1217-1232. http://dx.doi.org/10.1007/BF02106714
Ahmadi-Azar, E. and Riazi, N. (1995) A Class of Cosmological Solutions of Brans-Dicke Theory with Cosmological Constant. Astrophysics and Space Science, 226, 1-5. http://dx.doi.org/10.1007/BF00626893