3 research outputs found
Consistent Gravitationally-Coupled Spin-2 Field Theory
Inspired by the translational gauge structure of teleparallel gravity, the
theory for a fundamental massless spin-2 field is constructed. Accordingly,
instead of being represented by a symmetric second-rank tensor, the fundamental
spin-2 field is assumed to be represented by a spacetime (world) vector field
assuming values in the Lie algebra of the translation group. The flat-space
theory naturally emerges in the Fierz formalism and is found to be equivalent
to the usual metric-based theory. However, the gravitationally coupled theory,
with gravitation itself described by teleparallel gravity, is shown not to
present the consistency problems of the spin-2 theory constructed on the basis
of general relativity.Comment: 16 pages, no figures. V2: Presentation changes, including addition of
a new sub-section, aiming at clarifying the text; version accepted for
publication in Class. Quantum Grav
Hodge Dual for Soldered Bundles
In order to account for all possible contractions allowed by the presence of
the solder form, a generalized Hodge dual is defined for the case of soldered
bundles. Although for curvature the generalized dual coincides with the usual
one, for torsion it gives a completely new dual definition. Starting from the
standard form of a gauge lagrangian for the translation group, the generalized
Hodge dual yields precisely the lagrangian of the teleparallel equivalent of
general relativity, and consequently also the Einstein-Hilbert lagrangian of
general relativity.Comment: 8 pages, no figures. Accepted for publication in Journal of Physics
On the energy transported by exact plane gravitational-wave solutions
The energy and momentum transported by exact plane gravitational-wave
solutions of Einstein equations are computed using the teleparallel equivalent
formulation of Einstein's theory. It is shown that these waves transport
neither energy nor momentum. A comparison with the usual linear plane
gravitational-waves solution of the linearized Einstein equation is presented.Comment: 15 pages, Revtex, no figures, to appear in Class. Quantum Gra