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HIGHER DIMENSIONAL COSMOLOGICAL MODEL IN LYRA GEOMETRY: REVISITED

G. P. SINGH

Visvesvaraya National Institute of Technology, Nagpur 440011, India

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S. KOTAMBKAR

Department of Mathematics, G. H. Raisoni College of Engineering, Nagpur 440016, India

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, and

ANIRUDH PRADHAN

Department of Mathematics, Hindu Post-Graduate College, Zamania – 232 331, Ghazipur, India

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https://doi.org/10.1142/S0218271803003104Cited by:15 (Source: Crossref)

Abstract

In this paper we have revisited the research work of Rahman and Bera²² on Kaluza–Klein cosmological model within the framework of Lyra Geometry. It has been shown that the empty universe model yields a power law relation without any assumption. The role of bulk viscosity on five-dimensional cosmological model is discussed. The physical behaviour of the models is examined in all cases.

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References

H. Weyl, Sber. Press. Akad. Wiss. 465 (1918). Google Scholar
D. K. Sen and K. A. Dunn, J. Math. Phys. 12, 578 (1971), DOI: 10.1063/1.1665623. Crossref, Web of Science, ADS, Google Scholar
G. Lyra, Math. Z. 54, 52 (1951), DOI: 10.1007/BF01175135. Crossref, Google Scholar
D. K. Sen, Dr. Sc. Thesis, Univ. of Paris (1958) . Google Scholar
W. D. Halford, Aust. J. Phys. 23, 863 (1970). Crossref, Web of Science, ADS, Google Scholar
H. H. Soleng, Gen. Rel. Grav. 19, 1213 (1987), DOI: 10.1007/BF00759100. Crossref, Web of Science, ADS, Google Scholar
K. S. Bhamra, Aust. J. Phys. 27, 541 (1974). Crossref, Web of Science, ADS, Google Scholar
T. M. Karade and S. M. Borkar, Gen. Rel. Grav. 9, 431 (1978), DOI: 10.1007/BF00759843. Crossref, Web of Science, ADS, Google Scholar
S. B. Kalyanshetti and B. B. Waghmode, Gen. Rel. Grav. 14, 823 (1982), DOI: 10.1007/BF00756799. Crossref, Web of Science, ADS, Google Scholar
D. R. K. Reddy and R. Venkateswarlu, Astrophys. Space Sci. 123, 49 (1986), DOI: 10.1007/BF00649122. Crossref, Web of Science, ADS, Google Scholar
A. Beesham, Astrophys. Space. Sci. 127, 189 (1986), DOI: 10.1007/BF00637776. Crossref, Web of Science, ADS, Google Scholar
D. R. K. Reddy and R. Venkateswarlu, Astrophys. Space Sci. 136, 191 (1987), DOI: 10.1007/BF00661267. Crossref, Web of Science, ADS, Google Scholar
T. Singh and G. P. Singh, J. Math. Phys. 32, 2456 (1991), DOI: 10.1063/1.529495. Crossref, Web of Science, ADS, Google Scholar
T. Singh and G. P. Singh, Fortschr. Phys. 41, 737 (1993). Web of Science, Google Scholar
G. P. Singh and K. Desikan, Pramana 49, 205 (1997), DOI: 10.1007/BF02845856. Crossref, Web of Science, ADS, Google Scholar
A. Pradhan, V. Yadav and I. Chakrabarty, Int. J. Mod. Phys. D 10, 339 (2001), DOI: 10.1142/S0218271801000767. Link, Web of Science, ADS, Google Scholar
T. Kaluza, Sitzungsber Preuss. Akad. Wiss. k1, 966 (1921); O. Klein, Z. Phys. 37, 895 (1926) . Google Scholar
P. S. Wesson, Astrophys. J. 344, 19 (1992); S. Chatterjee, D. Panigrahi and A. Banerjee, Class. Quantum Grav. 11, 371 (1994); S. Chatterjee, B. Bhui, M. B. Basu and A. Banerjee, Phys. Rev. D50, 2924 (1994); S. Chakraborty and A. Roy, Int. J. Mod. Phys. D8, 645 (1999) . Google Scholar
S. Chatterjee and A. Banerjee, Class. Quantum Grav. 10, 1 (1993), DOI: 10.1088/0264-9381/10/1/001. Crossref, Web of Science, Google Scholar
A. Banerjee, D. Panigrahi and S. Chatterjee, J. Math. Phys. 36, 3619 (1995), DOI: 10.1063/1.531355. Crossref, Web of Science, ADS, Google Scholar
S. Chakraborty and A. Ghosh, Int. J. Mod. Phys. 9, 543 (2000). Link, Web of Science, ADS, Google Scholar
F. Rahman and J. Bera, Int. J. Mod. Phys. D 10, 729 (2001). Link, Web of Science, ADS, Google Scholar
M. Endo and T. Fukui, Gen. Rel. Grav. 8, 833 (1977), DOI: 10.1007/BF00759587. Crossref, Web of Science, ADS, Google Scholar
V. Canuto, S. H. Hsieh and P. J. Adams, Phys. Rev. Lett. 39, 429 (1977), DOI: 10.1103/PhysRevLett.39.429. Crossref, Web of Science, ADS, Google Scholar
O. Bertolomy, Nuovo Cimento B93, 36 (1986); M. S. Berman and M. M. Som, Int. J. Theor. Phys. 29, 1411 (1990) . Google Scholar
Y.-K. Lau, Aust. J. Phys. 38, 547 (1985). Crossref, Web of Science, ADS, Google Scholar
M. S. Berman, Phys. Rev. D 43, 1075 (1991), DOI: 10.1103/PhysRevD.43.1075. Crossref, Web of Science, Google Scholar
A. Beesham, Gen. Rel. Grav. 26, 159 (1994), DOI: 10.1007/BF02105151. Crossref, Web of Science, ADS, Google Scholar
J. L. Lopez and D. V. Nanopoulos, Mod. Phys. Lett. A 11, 1 (1996), DOI: 10.1142/S0217732396000023. Link, Web of Science, ADS, Google Scholar
S. Weinberg, Astrophys. J. 168, 175 (1971), DOI: 10.1086/151073. Crossref, Web of Science, ADS, Google Scholar
D. Pavon, J. Bafaluy and D. Jou, Class. Quantum Grav. 8, 357 (1991), DOI: 10.1088/0264-9381/8/2/014. Google Scholar
W. Zimdahl, Phys. Rev. D 53, 5483 (1996), DOI: 10.1103/PhysRevD.53.5483. Crossref, Web of Science, ADS, Google Scholar
R. Maartens, Proc. Hanno Rund Conf. on Relativity and Thermodynamics, ed. S. D. Maharaj (University of Natal, Durban, 1996) p. 21. Google Scholar