11 research outputs found
Weak-field approximation of effective gravitational theory with local Galilean invariance
We examine the weak-field approximation of locally Galilean invariant
gravitational theories with general covariance in a -dimensional
Galilean framework. The additional degrees of freedom allow us to obtain
Poisson, diffusion, and Schr\"odinger equations for the fluctuation field. An
advantage of this approach over the usual -dimensional General
Relativity is that it allows us to choose an ansatz for the fluctuation field
that can accommodate the field equations of the Lagrangian approach to MOdified
Newtonian Dynamics (MOND) known as AQUAdratic Lagrangian (AQUAL). We
investigate a wave solution for the Schr\"odinger equations.Comment: 15 page
Gauge Formulation for Higher Order Gravity
This work is an application of the second order gauge theory for the Lorentz
group, where a description of the gravitational interaction is obtained which
includes derivatives of the curvature. We analyze the form of the second field
strenght, , in terms of geometrical variables. All possible
independent Lagrangians constructed with quadratic contractions of and
quadratic contractions of are analyzed. The equations of motion for a
particular Lagrangian, which is analogous to Podolsky's term of his Generalized
Electrodynamics, are calculated. The static isotropic solution in the linear
approximation was found, exhibiting the regular Newtonian behaviour at short
distances as well as a meso-large distance modification.Comment: Published versio
Second Order Gauge Theory
A gauge theory of second order in the derivatives of the auxiliary field is
constructed following Utiyama's program. A novel field strength arises besides the one of the first order treatment, . The associated conserved current is obtained. It has a new
feature: topological terms are determined from local invariance requirements.
Podolsky Generalized Eletrodynamics is derived as a particular case in which
the Lagrangian of the gauge field is . In this application
the photon mass is estimated. The SU(N) infrared regime is analysed by means of
Alekseev-Arbuzov-Baikov's Lagrangian.Comment: 27 pages. No figure. Final versio
Cosmic acceleration from second order gauge gravity
We construct a phenomenological theory of gravitation based on a second order
gauge formulation for the Lorentz group. The model presents a long-range
modification for the gravitational field leading to a cosmological model
provided with an accelerated expansion at recent times. We estimate the model
parameters using observational data and verify that our estimative for the age
of the Universe is of the same magnitude than the one predicted by the standard
model. The transition from the decelerated expansion regime to the accelerated
one occurs recently (at ).Comment: RevTex4 15 pages, 1 figure. Accepted for publication in Astrophysics
& Space Scienc
Realistic Equations of State for the Primeval Universe
Early universe equations of state including realistic interactions between
constituents are built up. Under certain reasonable assumptions, these
equations are able to generate an inflationary regime prior to the
nucleosynthesis period. The resulting accelerated expansion is intense enough
to solve the flatness and horizon problems. In the cases of curvature parameter
\kappa equal to 0 or +1, the model is able to avoid the initial singularity and
offers a natural explanation for why the universe is in expansion.Comment: 32 pages, 5 figures. Citations added in this version. Accepted EPJ