ar X iv : g r - qc / 0 60 51 13 v 1 2 1 M ay

ar X iv : g r - qc / 0 50 51 30 v 1 2 6 M ay 2 00 5 An Exact Solution for Static Scalar Fields Coupled to Gravity in ( 2 + 1 ) - Dimensions

We obtain an exact solution for the Einstein’s equations with cosmological constant coupled to a scalar, static particle in static, ”spherically” symmetric background in 2 + 1 dimensions. ————————————————————————————

ar X iv : g r - qc / 0 60 51 13 v 1 2 1 M

M. Sami, 2 Parampreet Singh, and Shinji Tsujikawa Centre for Theoretical Physics, Jamia Millia, New Delhi-110025, India Department of Physics, Jamia Millia, New Delhi-110025, India Institute for Gravitational Physics and Geometry, Physics Department, Penn State, University Park, PA 16802, U.S.A. Department of Physics, Gunma National College of Technology, Gunma 371-8530, Japan (Dated: May 23, 2...

ar X iv : g r - qc / 0 10 51 08 v 1 2 8 M ay 2 00 1 Non - trivial Solutions of the Bach Equation Exist

We show that solutions of the Bach equation exist which are not conformal Einstein spaces. In connection with fourth order gravitational field equations, cf. e.g. [1, 2] where the breaking of conformal invariance was discussed, the original Bach equation, Bij = 0 , (1) enjoys current interest. Eq. (1) stems from a Lagrangian L = 1 2 √ −gCijklC , and variation gives, cf. Bach [3], 1 √−g δL/δg ij...

ar X iv : g r - qc / 0 51 01 27 v 1 3 1 O ct 2 00 5 Imprints of Spacetime Topology in the Hawking - Unruh Effect

X iv : g r - qc / 0 60 50 90 v 1 1 5 M ay 2 00 6 Scalar Metric fluctuations in Space Time Matter inflation

Using the Ponce de Leon background metric, which describes a 5D universe in an apparent vacuum: ¯ G AB = 0, we study the effective 4D evolution of both, the inflaton and gauge-invariant scalar metric fluctuations, in the recently introduced model of space time matter inflation.