9 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
Regularizing role of teleparallelism
The properties of the gravitational energy-momentum 3-form and of the
superpotential 2-form are discussed in the covariant teleparallel framework,
where the Weitzenb\"ock connection represents inertial effects related to the
choice of the frame. Due to its odd asymptotic behavior, the contribution of
the inertial effects often yields unphysical (divergent or trivial) results for
the total energy of the system. However, in the covariant teleparallel
approach, the energy is always finite and nontrivial. The teleparallel
connection plays a role of a regularizing tool which subtracts the inertial
effects without distorting the true gravitational contribution. As a crucial
test of the covariant formalism, we reanalyze the computation of the total
energy of the Schwarzschild and the Kerr solutions.Comment: Revtex, 23 pages, no figures, accepted in Phys. Rev.
Teleparalelismo: geometria e dinâmica
[Robert Batty del., J.C. Varrall sc.]Ansicht von Würzburg, links die Festung Marienber