Exact solutions of Brans--Dicke theory for irrotational barotropic models with stiff matter

Journal Article · Fri Aug 01 00:00:00 EDT 1980 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524664· OSTI ID:5174615

Johri, V B; Goswami, G K

In the previous work, we have obtained classes of exact solutions of Brans--Dicke (BD) theory when only a scalar field is present and also in the presence of an electromagnetic field. In the present paper, we have generated a new class of solutions of BD theory corresponding to irrotational barotropic perfect fluid with pressure equal to energy density. The main result of the paper may be stated as follows: ''Corresponding to any diagonalizable solution of Einstein vacuum field equations, in which fields and metric tensors are functions of not more than three variables, we can generate a solution of the Brans--Dicke theory for the irrotational barotropic perfect fluid with pressure equal to energy density.''

• Research Organization: Department of Mathematics, Univeristy of Gorakhpur, Gorakhpur 273001 India
• OSTI ID: 5174615
• Journal Information: J. Math. Phys. (N.Y.); (United States), Vol. 21:8
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
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