Plane Symmetric Domain Wall in Lyra Geometry

Abstract

In this paper general solutions are found for domain walls in Lyra geometry in the plane symmetric spacetime metric given by Taub. Expressions for the energy density and pressure of domain walls are derived in both cases of uniform and time varying displacement field β. It is also shown that the results obtained by Rahaman et al [IJMPD, 10, 735 (2001)] are particular case of our solutions. Finally, the geodesic equations and acceleration of the test particle are discussed.

New Class of Magnetized Inhomogeneous Bianchi Type-I Cosmological Model with Variable Magnetic Permeability in Lyra Geometry

“…Recently, Pradhan et al [21,22,23,24,25,26,27], Casama et al [6], Rahaman et al [28], Bali and Chandnani [2,3], Kumar and Singh [15], Yadav et al [35], Rao et al [29], Zia and Singh [37] have studied cosmological models based on Lyras geometry in various contexts.…”

Spinorial Field and Lyra Geometry

“…The study of this geometry was completed by Lyra (1951) and Scheibe (1952), it was analyzed by several others as an alternative to describe the gravitational field, and more recently it has been applied to study viscous and higher dimensional (Pradhan and Pandey gr-qc/0307038; Khadekar and Nagpure GR-GC/0111096; Singh et al, 2004; cosmological models, domain walls (Pradhan et al, 2003;Rahaman and Ghosh, 2004), and several others applications. The attractive of Lyra's geometry resides in the fact that the torsion is propagating which in the context of spingravitational coupling is interesting.…”

“…Among them some may prove to be of crucial importance in the formulation of a future and successful quantum gravity as for example the torsion (Hehl et al, 1976(Hehl et al, , 1978Neville, 1978;Nieh, 1980;Sezgin and van Nieuwenhuizen, 1980;Nieh and Rauch, 1981), conformal gauge symmetry (Weyl, 1918;Dirac, 1973;Utiyama, 1973Utiyama, , 1975Englert et al, 1976;Fradkin and Vilkovisky, 1978;Smolin, 1979) and supersymmetry (Freedman et al, 1976;van Nieuwenhuizen,1981;Kane, 2001;Wess and Bagger, 1992;Nilles, 1984;Zumino, 1984;Fayet and Ferrara, 1977;Fradkin and Tseytlin, 1985).…”

Scalar and Vector Massive Fields in Lyra´s Manifold

“…This theory was developed by Scheibe [2], Sen [3] and several others as an alternative to describe the gravitational field, and more recently has been applied to study viscous [4] and higher dimensional [5] cosmological models, domain walls [6], and several others applications. In context of spin-gravitational coupling, the importance of Lyra's geometry resides in the fact that the torsion is propagating.…”