×
Belinchón, J. A.

Self-creation theory of gravitation. A self-similar approach. (English) Zbl 1276.83036

Astrophys. Space Sci. 346, No. 1, 237-244 (2013).
Summary: In order to study how the gravitational constant, \(G\), varies within the Barber’s second self-creation theory of gravitation we find exact solutions for Bianchi type I, \(\mathrm{VII}_0\), IX and Kantowski-Sach (KS) under the self-similar hypothesis. Some physical and geometrical properties of the models are also discussed and compare the obtained results with the current observations. We also compare our results with the obtained ones in the Brans-Dicke theory.

Cited in 2 Documents

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
83F05 Relativistic cosmology
83C20 Classes of solutions; algebraically special solutions, metrics with symmetries for problems in general relativity and gravitational theory

Keywords:

exact self-similar Bianchi types; barber theory of gravitation; time-varying constants
Cite Review PDF
Full Text: DOI

References:

[1] Armendariz-Picon, C.; Pekowsky, L., No article title, Phys. Rev. Lett., 102 (2009) · doi:10.1103/PhysRevLett.102.031301
[2] Barber, G. A., No article title, Gen. Relativ. Gravit., 14, 117 (1982) · doi:10.1007/BF00756918
[3] Barber, G. A., No article title, Astrophys. Space Sci., 282, 683 (2002) · doi:10.1023/A:1021160313465
[4] Barber, G.A.: New Developments in Quantum Cosmology Research, Horizons in World Physics, vol. 247, pp. 155-184. Nova Science, New York (2004). Self Creation Cosmology—An Alternative Gravitational Theory (eprint. arXiv:gr-qc/0405094)
[5] Barber, G. A., No article title, Astrophys. Space Sci., 305, 169 (2006) · doi:10.1007/s10509-006-9056-5
[6] Barber, G.A.: arXiv:1009.5862 (2010)
[7] Belinchón, J. A., No article title, Int. J. Mod. Phys. A, 23, 5021 (2008) · Zbl 1165.83301 · doi:10.1142/S0217751X08043127
[8] Belinchón, J. A., No article title, Gravit. Cosmol., 15, 306-316 (2009) · Zbl 1181.83155 · doi:10.1134/S0202289309040045
[9] Belinchón, J. A., No article title, Astrophys. Space Sci., 338, 381 (2012) · Zbl 1238.83066 · doi:10.1007/s10509-011-0954-9
[10] Belinchón, J. A., No article title, Eur. Phys. J. C, 72, 1866 (2012) · doi:10.1140/epjc/s10052-012-1866-8
[11] Belinchón, J. A., No article title, Cent. Eur. J. Phys., 10, 789 (2012) · doi:10.2478/s11534-012-0087-y
[12] Biesiada, M.; Malec, B., No article title, Mon. Not. R. Astron. Soc., 350, 644 (2004) · doi:10.1111/j.1365-2966.2004.07677.x
[13] Bisnovatyi-Kogan, G. S., No article title, Int. J. Mod. Phys. D, 15, 1047 (2006) · Zbl 1119.85307 · doi:10.1142/S0218271806008747
[14] Brans, C., No article title, Gen. Relativ. Gravit., 19, 949 (1987) · doi:10.1007/BF00759299
[15] Bronnikov, K. A.; etal., No article title, Class. Quantum Gravity, 21, 3389-3403 (2004) · Zbl 1062.83090 · doi:10.1088/0264-9381/21/14/005
[16] Carr, B. J.; Coley, A. A., No article title, Class. Quantum Gravity, 16 (1999) · Zbl 0937.83009 · doi:10.1088/0264-9381/16/7/201
[17] Coley, A.A.: Dynamical Systems and Cosmology. Kluwer Academic, Dordrecht (2003) · Zbl 1055.83001 · doi:10.1007/978-94-017-0327-7
[18] Damour, T.; etal., No article title, Phys. Rev. Lett., 61, 1151 (1988) · doi:10.1103/PhysRevLett.61.1151
[19] Groeneboom, N. E.; Eriksen, H. K., No article title, Astrophys. J., 690, 1807 (2009) · doi:10.1088/0004-637X/690/2/1807
[20] Guenther, D. B., No article title, Phys. Lett. B, 498, 871 (1998)
[21] Faraoni, V.: Cosmology in Scalar-Tensor Gravity. Kluwer Academic, Dordrecht (2004) · Zbl 1057.83002 · doi:10.1007/978-1-4020-1989-0
[22] Fujii, Y., Maeda, K.: The Scalar-Tensor Theory of Gravitation. Cambridge University Press, Cambridge (2003) · Zbl 1079.83023
[23] Hall, G. S.; Roy, I.; Vaz, L. R., No article title, Gen. Relativ. Gravit., 28, 299 (1996) · Zbl 0862.53057 · doi:10.1007/BF02106969
[24] Harko, T.; Mak, M. K., No article title, Int. J. Mod. Phys. D, 11, 1171 (2002) · Zbl 1062.83506 · doi:10.1142/S0218271802002141
[25] Jacobs, K. C., No article title, Astron. J., 153, 661 (1968) · doi:10.1086/149694
[26] Kumar Samal, P.; etal., No article title, Mon. Not. R. Astron. Soc., 385, 1718 (2008) · doi:10.1111/j.1365-2966.2008.12960.x
[27] Perlmutter, S.; etal., No article title, Astrophys. J., 483, 565 (1997) · doi:10.1086/304265
[28] Perlmutter, S.; etal., No article title, Nature, 391, 51 (1998) · doi:10.1038/34124
[29] Perlmutter, S.; etal., No article title, Astrophys. J., 517, 565 (1999) · Zbl 1368.85002 · doi:10.1086/307221
[30] Pradhan, A.; Vishwakarma, A. K., No article title, Int. J. Mod. Phys. D, 11, 1195 (2002) · Zbl 1062.83548 · doi:10.1142/S0218271802002207
[31] Pradhan, A.; Pandey, H. R., No article title, Indian J. Pure Appl. Math., 35, 513 (2004) · Zbl 1066.85503
[32] Pradhan, A.; Agarwal, S.; Singh, G. P., No article title, Int. J. Theor. Phys., 48, 158 (2009) · Zbl 1163.83329 · doi:10.1007/s10773-008-9791-1
[33] Pullen, A. R.; Kamionkowski, M., No article title, Phys. Rev. D, 76 (2007) · doi:10.1103/PhysRevD.76.103529
[34] Ram, S.; Singh, C. P., No article title, Astrophys. Space Sci., 257, 287 (1998) · Zbl 0937.83041 · doi:10.1023/A:1001146029530
[35] Reddy, D. R.K., No article title, Astrophys. Space Sci., 132, 401 (1987) · doi:10.1007/BF00641769
[36] Reddy, D. R.K.; Venkateswarlu, R., No article title, Astrophys. Space Sci., 155, 135 (1989) · Zbl 0701.76126 · doi:10.1007/BF00645214
[37] Rosquist, R.; Jantzen, R., No article title, Class. Quantum Gravity, 2 (1985) · Zbl 0576.53077 · doi:10.1088/0264-9381/2/6/004
[38] Shanthi, K.; Rao, V. U.M., No article title, Astrophys. Space Sci., 179, 147 (1991) · Zbl 0726.76122 · doi:10.1007/BF00642359
[39] Sharif, M., No article title, Nuovo Cimento B, 116, 673 (2001)
[40] Sharif, M., No article title, Astrophys. Space Sci., 278, 447 (2001) · Zbl 0991.83027 · doi:10.1023/A:1013127927017
[41] Sharif, M., No article title, Int. J. Mod. Phys. D, 14, 1675-1684 (2005) · Zbl 1098.83007 · doi:10.1142/S0218271805007322
[42] Singh, G. P.; Kumar, S., No article title, Astrophys. Space Sci., 310, 31 (2007) · doi:10.1007/s10509-007-9411-1
[43] Stephani, H., et al.: Exact Solutions of Einstein’s Field Equations, 2nd edn. Cambridge University Press, Cambridge (2003) · Zbl 1057.83004 · doi:10.1017/CBO9780511535185
[44] Tsamparlis, M.; Apostolopoulos, P. S., No article title, Gen. Relativ. Gravit., 36, 47 (2004) · Zbl 1036.83009 · doi:10.1023/B:GERG.0000006693.75816.e9
[45] Venkateswarlu, R.; Reddy, D. R.K., No article title, Astrophys. Space Sci., 151, 353 (1989) · Zbl 0709.58509 · doi:10.1007/BF00648392
[46] Venkateswarlu, R.; Reddy, D. R.K., No article title, Astrophys. Space Sci., 168, 193 (1990) · doi:10.1007/BF00636864
[47] Wainwright, J.; MacCallum, M. A.H. (ed.), Self-similar solutions of Einstein’s equations (1985), Cambridge
[48] Wainwright, J., Ellis, G.F.R.: Dynamical Systems in Cosmology. Cambridge University Press, Cambridge (1997) · Zbl 1072.83002 · doi:10.1017/CBO9780511524660
[49] Wainwright, J.; Hancock, M. J.; Uggla, C., No article title, Class. Quantum Gravity, 16, 2577 (1999) · Zbl 0946.83067 · doi:10.1088/0264-9381/16/8/302
[50] Will, C.M.: Theory and Experiments in Gravitational Physics. Cambridge University Press, Cambridge (1993) · Zbl 0785.53068 · doi:10.1017/CBO9780511564246
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.