ar X iv : g r - qc / 0 00 90 67 v 2 9 M ay 2 00 1 Berry phase for spin – 1 / 2 particles moving in a spacetime with torsion

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

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 : m at h - ph / 0 50 10 64 v 4 1 7 M ay 2 00 5 Hidden Consequence of Active Local Lorentz Invariance ∗

In this paper we investigate a hidden consequence of the hypothesis that Lagrangians and field equations must be invariant under active local Lorentz transformations. We show that this hypothesis implies in an equivalence between spacetime structures with several curvature and torsion possibilities.

ar X iv : 0 90 5 . 41 04 v 1 [ gr - q c ] 2 6 M ay 2 00 9 An Equation of Motion with Quantum Effect in Spacetime ∗

In this paper, we shall present a new equation of motion with Quantum effect in spacetime. To do so, we propose a classical-quantum duality. We also generalize the Schordinger equation to the spacetime and obtain a relativistic wave equation. This will lead a generalization of Einstein’s formula E = m0c 2 in the spacetime. In general, we have E = m0c 2 + ~ 2 12m0 R in a spacetime.

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.