zbMATH — the first resource for mathematics

Examples
Geometry Search for the term Geometry in any field. Queries are case-independent.
Funct* Wildcard queries are specified by * (e.g. functions, functorial, etc.). Otherwise the search is exact.
"Topological group" Phrases (multi-words) should be set in "straight quotation marks".
au: Bourbaki & ti: Algebra Search for author and title. The and-operator & is default and can be omitted.
Chebyshev | Tschebyscheff The or-operator | allows to search for Chebyshev or Tschebyscheff.
"Quasi* map*" py: 1989 The resulting documents have publication year 1989.
so: Eur* J* Mat* Soc* cc: 14 Search for publications in a particular source with a Mathematics Subject Classification code (cc) in 14.
"Partial diff* eq*" ! elliptic The not-operator ! eliminates all results containing the word elliptic.
dt: b & au: Hilbert The document type is set to books; alternatively: j for journal articles, a for book articles.
py: 2000-2015 cc: (94A | 11T) Number ranges are accepted. Terms can be grouped within (parentheses).
la: chinese Find documents in a given language. ISO 639-1 language codes can also be used.

Operators
a & b logic and
a | b logic or
!ab logic not
abc* right wildcard
"ab c" phrase
(ab c) parentheses
Fields
any anywhere an internal document identifier
au author, editor ai internal author identifier
ti title la language
so source ab review, abstract
py publication year rv reviewer
cc MSC code ut uncontrolled term
dt document type (j: journal article; b: book; a: book article)
Bianchi types II, VIII and IX string cosmological models with bulk viscosity in Brans-Dicke theory of gravitation. (English) Zbl 1259.83027
Summary: We have obtained and presented spatially homogeneous Bianchi types II, VIII and IX string cosmological models with bulk viscosity in a scalar tensor theory of gravitation proposed by C. Brans and R. H. Dicke [Phys. Rev. (2) 124, 925–935 (1961; Zbl 0103.21402)]. It is observed that in case of Bianchi type-IX universe, only bulk viscous cosmological model exists. Some physical and geometrical properties of the models are also discussed.
MSC:
83F05Relativistic cosmology
83D05Relativistic gravitational theories other than Einstein’s
83C15Closed form solutions of equations in general relativity
83E30String and superstring theories
References:
[1]Adhav, K.S., Nimkar, A.S., Ugale, M.R., Dawande, M.V.: Astrophys. Space Sci. 310, 231 (2007) · Zbl 1126.83307 · doi:10.1007/s10509-007-9506-8
[2]Banerjee, A., Santos, N.O.: Nuovo Cimento 67B, 31 (1982)
[3]Belinskii, V.A., Khalatnikov, I.M.: Sov. Phys. JETP 36, 591 (1973)
[4]Berman, M.S., et al.: Gen. Relativ. Gravit. 21, 287 (1989) · doi:10.1007/BF00764101
[5]Brans, C., Dicke, R.H.: Phys. Rev. 124, 925 (1961) · Zbl 0103.21402 · doi:10.1103/PhysRev.124.925
[6]Reddy, D.R.K., Rao, V.U.M.: J. Phys. A, Math. Gen. 14, 1973 (1981) · doi:10.1088/0305-4470/14/8/021
[7]Reddy, D.R.K., Naidu, R.L.: Astrophys. Space Sci. 307, 395 (2007) · doi:10.1007/s10509-007-9387-x
[8]Reddy, D.R.K.: Astrophys. Space Sci. 286, 365 (2003) · Zbl 1062.85523 · doi:10.1023/A:1026322816690
[9]Ram, S., Singh, D.K.: Astrophys. Space Sci. 103, 21 (1984) · doi:10.1007/BF00650039
[10]Ram, S.: Gen. Relativ. Gravit. 15, 635 (1983) · Zbl 0511.53031 · doi:10.1007/BF00759040
[11]Singh, T., Rai, L.N.: Gen. Relativ. Gravit. 15, 875 (1983) · Zbl 0519.53023 · doi:10.1007/BF00778798
[12]Nariai, H.: Prog. Theor. Phys. 47, 1824 (1972) · doi:10.1143/PTP.47.1824
[13]Bali, R., Dave, S.: Astrophys. Space Sci. 282, 461 (2002) · doi:10.1023/A:1020834610024
[14]Bali, R., Pradhan, A.: Chin. Phys. Lett. 24(2), 585 (2007) · doi:10.1088/0256-307X/24/2/079
[15]Barrow, J.D.: Phys. Lett. B 180, 335 (1986) · doi:10.1016/0370-2693(86)91198-6
[16]Battacharjee, R., Baruah, K.K.: Indian J. Pure Appl. Math. 32, 47 (2001)
[17]Krori, K.D., Chaudhuri, T., Mahanta, C.R., Majumdar, A.: Gen. Relativ. Gravit. 22, 123 (1990) · doi:10.1007/BF00756203
[18]Letelier, P.S.: Phys. Rev. D 28, 2414 (1983) · doi:10.1103/PhysRevD.28.2414
[19]Lima, J.A.S., Germano, A.S.M., Abrama, L.R.W.: Phys. Rev. D 53, 4287 (1993) · doi:10.1103/PhysRevD.53.4287
[20]Lyra, G.: Math. Z. 54, 52 (1951) · Zbl 0042.15902 · doi:10.1007/BF01175135
[21]Mahanta, P., Mukherjee, A.: Indian J. Pure Appl. Math. 32, 199 (2001)
[22]Martens, R.: Class. Quantum Gravity 12, 1455 (1995) · Zbl 0825.83004 · doi:10.1088/0264-9381/12/6/011
[23]Mohanty, G., Mahanta, K.L.: Astrophys. Space Sci. 312, 301 (2007) · doi:10.1007/s10509-007-9691-5
[24]Mohanty, G., Pattanaik, R.R.: Int. J. Theor. Phys. 30, 239 (1991) · doi:10.1007/BF00670717
[25]Mohanty, G., Pradhan, B.D.: Int. J. Theor. Phys. 31, 151 (1992) · Zbl 0743.53046 · doi:10.1007/BF00674348
[26]Padmanabhan, T., Chitre, S.M.: Phys. Lett. A 120, 433 (1987) · doi:10.1016/0375-9601(87)90104-6
[27]Pavon, D., Bafluy, J., Jou, D.: Class. Quantum Gravity 8, 347 (1991) · doi:10.1088/0264-9381/8/2/014
[28]Bali, R., Dave, S.: Praman J. Phys. 56(4), 513 (2001) · doi:10.1007/s12043-001-0100-2
[29]Bali, R., Yadav, M.K.: Pramana J. Phys. 64(2), 187 (2005) · doi:10.1007/BF02704873
[30]Rao, V.U.M., Sanyasi Raju, Y.V.S.S.: Astrophys. Space Sci. 187, 113 (1992) · Zbl 0741.76102 · doi:10.1007/BF00642691
[31]Rao, V.U.M., Vijaya Santhi, M., Vinutha, T.: Astrophys. Space Sci. 314, 73 (2008a) · doi:10.1007/s10509-008-9739-1
[32]Rao, V.U.M., Vijaya Santhi, M., Vinutha, T.: Astrophys. Space Sci. 317, 27 (2008b) · doi:10.1007/s10509-008-9849-9
[33]Rao, V.U.M., Vijaya Santhi, M., Vinutha, T.: Astrophys. Space Sci. 317, 83 (2008c) · doi:10.1007/s10509-008-9859-7
[34]Rao, V.U.M., Vinutha, T.: Astrophys. Space Sci. 319, 161 (2009) · doi:10.1007/s10509-008-9971-8
[35]Rao, V.U.M., Vijaya Santhi, M.: J. Mod. Phys. 2, 1222 (2011a) · doi:10.4236/jmp.2011.210151
[36]Rao, V.U.M., Sree Devi Kumari, G., Sireesha, K.V.S.: Astrophys. Space Sci. 302, 157 (2011b)
[37]Rao, V.U.M., Vijaya Santhi, M.: Astrophys. Space Sci. 337, 387 (2012a) · Zbl 1238.83052 · doi:10.1007/s10509-011-0824-5
[38]Rao, V.U.M., Vijaya Santhi, M.: ISRN Math. Phys. (2012b). doi: 10.5402/2012/573967
[39]Reddy, D.R.K., Subba Rao, M.V.: Astrophys. Space Sci. 302, 157 (2006) · doi:10.1007/s10509-005-9022-7
[40]Reddy, D.R.K., Patrudu, B.M., Venkateswarlu, R.: Astrophys. Space Sci. 204, 155 (1993) · Zbl 0781.76102 · doi:10.1007/BF00658101
[41]Roy, S.R., Tiwari, O.P.: Indian J. Pure Appl. Math. 14, 233 (1983)
[42]Sanyasi Raju, Y.V.S.S., Rao, V.U.M.: Astrophys. Space Sci. 189, 39 (1992) · Zbl 0743.76105 · doi:10.1007/BF00642950
[43]Sen, D.K.: Phys. 149, 311 (1957) · doi:10.1007/BF01333146
[44]Shanthi, K., Rao, V.U.M.: Astrophys. Space Sci. 179, 143 (1991)
[45]Singh, J.K.: IL Nuovo Lim. 120B, 1251 (2005)
[46]Singh, J.K., Ram, S.: Astrophys. Space Sci. 236, 277 (1996) · Zbl 0890.76099 · doi:10.1007/BF00645149
[47]Tripathy, S.K., Behera, D., Routray, T.R.: Astrophys. Space Sci. 325, 93 (2010) · doi:10.1007/s10509-009-0169-5
[48]Tripathy, S.K., Nayak, S.K., Sahu, S.K., Routray, T.R.: Astrophys. Space Sci. 321, 247 (2009) · doi:10.1007/s10509-009-0033-7