2012
DOI: 10.2478/s11534-012-0087-y
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Bianchi I in scalar and scalar-tensor cosmologies

Abstract: Abstract:We study how the constants G and Λ may vary in different theoretical models (general relativity (GR) with a perfect fluid, scalar cosmological models (SM) ("quintessence") with and without interacting scalar and matter fields and three scalar-tensor theories (STT) with a dynamical Λ) in order to explain some observational results. We apply the program outlined in section II to study the Bianchi I models, under the self-similarity hypothesis. We put special emphasis on calculating exact power-law solut… Show more

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Cited by 7 publications
(3 citation statements)
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“…A number of anisotropic cosmological solutions of the Brans-Dicke field equations are also known. Bianchi type-I solutions have been found in [1075,133], type-II in [822,580,825], type-III solutions in [826], type-V solutions in [821,823,827,828,581], type-V I 0 and V I h solutions in [829,830,131], type-V II h solutions in [824,579], type-V III solutions in [825,820], type-IX solutions in [825,820], and Kantowski-Sachs solutions in [826]. Inhomogeneous cosmological solutions have also been found [313], and braneworld cosmologies have been considered in [75,1054].…”
Section: Brans-dicke Theorymentioning
confidence: 99%
“…A number of anisotropic cosmological solutions of the Brans-Dicke field equations are also known. Bianchi type-I solutions have been found in [1075,133], type-II in [822,580,825], type-III solutions in [826], type-V solutions in [821,823,827,828,581], type-V I 0 and V I h solutions in [829,830,131], type-V II h solutions in [824,579], type-V III solutions in [825,820], type-IX solutions in [825,820], and Kantowski-Sachs solutions in [826]. Inhomogeneous cosmological solutions have also been found [313], and braneworld cosmologies have been considered in [75,1054].…”
Section: Brans-dicke Theorymentioning
confidence: 99%
“…Furthermore working under the hypothesis of selfsimilarity allows us to find exact power-law solutions in such a way that we may compare the obtained solution for each studied model. By applying the theoretical results obtained in [20] we have studied how may vary and Λ in the described theoretical models using different geometries as Bianchi I [25], Bianchi II [26], Bianchi V, VII ℎ and IX [27] and Kantowsky-Sach [20]. In this paper, enlarging the program, we would like to study the case of family of Bianchi VI geometry, that is, Bianchi III, VI 0 , and VI ℎ .…”
Section: Journal Of Gravitymentioning
confidence: 99%
“…There has been considerable interest in cosmologies with variable parameters ever since. See [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] for recent studies and the references cited in [13] for citations to earlier research on the topic. These models considered either or both and Λ to be time-dependent.…”
Section: Introductionmentioning
confidence: 99%