84 research outputs found
A numeric solution for metric-affine gravity and Einstein's gravitational theory with Proca matter
A special case of metric-affine gauge theory of gravity (MAG) is equivalent
to general relativity with Proca matter as source. We study in detail a
corresponding numeric solution of the Reissner-Nordstr"om type. It is static,
spherically symmetric, and of electric type. In particular, this solution has
no horizon, so it has a naked singularity as its origin.Comment: LaTeX2e, 20 pages, 22 figure
PP-waves with torsion and metric-affine gravity
A classical pp-wave is a 4-dimensional Lorentzian spacetime which admits a
nonvanishing parallel spinor field; here the connection is assumed to be
Levi-Civita. We generalise this definition to metric compatible spacetimes with
torsion and describe basic properties of such spacetimes. We use our
generalised pp-waves for constructing new explicit vacuum solutions of
quadratic metric-affine gravity.Comment: 17 pages, LaTeX2
Chiral Asymmetry and the Spectral Action
We consider orthogonal connections with arbitrary torsion on compact
Riemannian manifolds. For the induced Dirac operators, twisted Dirac operators
and Dirac operators of Chamseddine-Connes type we compute the spectral action.
In addition to the Einstein-Hilbert action and the bosonic part of the Standard
Model Lagrangian we find the Holst term from Loop Quantum Gravity, a coupling
of the Holst term to the scalar curvature and a prediction for the value of the
Barbero-Immirzi parameter
Asymptotic charges in 3d gravity with torsion
We discuss some new developments in three-dimensional gravity with torsion,
based on Riemann-Cartan geometry. Using the canonical approach, we study the
structure of asymptotic symmetry, clarify its fundamental role in defining the
gravitational conserved charges, and explore the influence of the asymptotic
structure on the black hole entropy.Comment: 6 pages, LATEX file (+jpconf.cls,jpconf11.clo), Talk presented at
Constrained Dynamics and Quantum Gravity 05, Cala Gonone (Sardinia, Italy),
September 12-16, 200
Regularized expression for the gravitational energy-momentum in teleparallel gravity and the principle of equivalence
The expression of the gravitational energy-momentum defined in the context of
the teleparallel equivalent of general relativity is extended to an arbitrary
set of real-valued tetrad fields, by adding a suitable reference space
subtraction term. The characterization of tetrad fields as reference frames is
addressed in the context of the Kerr space-time. It is also pointed out that
Einstein's version of the principle of equivalence does not preclude the
existence of a definition for the gravitational energy-momentum density.Comment: 17 pages, Latex file, no figure; minor correction in eq. (14), three
references added, to appear in the GRG Journa
Poincare gauge theory of gravity: Friedman cosmology with even and odd parity modes. Analytic part
We propose a cosmological model in the framework of the Poincar\'e gauge
theory of gravity (PG). The gravitational Lagrangian is quadratic in curvature
and torsion. In our specific model, the Lagrangian contains (i) the curvature
scalar and the curvature pseudo-scalar linearly and quadratically
(including an term) and (ii) pieces quadratic in the torsion {\it vector}
and the torsion {\it axial} vector (including a term). We show generally that in quadratic PG models we have nearly
the same number of parity conserving terms (`world') and of parity violating
terms (`shadow world'). This offers new perspectives in cosmology for the
coupling of gravity to matter and antimatter. Our specific model generalizes
the fairly realistic `torsion cosmologies' of Shie-Nester-Yo (2008) and Chen et
al.\ (2009). With a Friedman type ansatz for an orthonormal coframe and a
Lorentz connection, we derive the two field equations of PG in an explicit form
and discuss their general structure in detail. In particular, the second field
equation can be reduced to first order ordinary differential equations for the
curvature pieces and . Including these along with certain
relations obtained from the first field equation and curvature definitions, we
present a first order system of equations suitable for numerical evaluation.
This is deferred to the second, numerical part of this paper.Comment: Latex computerscript, 25 pages; mistakes corrected, references added,
notation and title slightly changed; accepted by Phys. Rev.
Mass and Spin of Poincare Gauge Theory
We discuss two expressions for the conserved quantities (energy momentum and
angular momentum) of the Poincar\'e Gauge Theory. We show, that the variations
of the Hamiltonians, of which the expressions are the respective boundary
terms, are well defined, if we choose an appropriate phase space for asymptotic
flat gravitating systems. Furthermore, we compare the expressions with others,
known from the literature.Comment: 16 pages, plain-tex; to be published in Gen. Rel. Gra
Isomorphism between Non-Riemannian gravity and Einstein-Proca-Weyl theories extended to a class of Scalar gravity theories
We extend the recently proved relation between certain models of
Non-Riemannian gravitation and Einstein- Proca-Weyl theories to a class of
Scalar gravity theories. This is used to present a Black-Hole Dilaton solution
with non-Riemannian connection.Comment: 13 pages, tex file, accepted in Class. Quant. Gra
Hamiltonian Poincar\'e Gauge Theory of Gravitation
We develop a Hamiltonian formalism suitable to be applied to gauge theories
in the presence of Gravitation, and to Gravity itself when considered as a
gauge theory. It is based on a nonlinear realization of the Poincar\'e group,
taken as the local spacetime group of the gravitational gauge theory, with
as the classification subgroup. The Wigner--like rotation induced by
the nonlinear approach singularizes out the role of time and allows to deal
with ordinary vectors. We apply the general results to the
Einstein--Cartan action. We study the constraints and we obtain Einstein's
classical equations in the extremely simple form of time evolution equations of
the coframe. As a consequence of our approach, we identify the
gauge--theoretical origin of the Ashtekar variables.Comment: 38 pages, plainTe
Torsion nonminimally coupled to the electromagnetic field and birefringence
In conventional Maxwell--Lorentz electrodynamics, the propagation of light is
influenced by the metric, not, however, by the possible presence of a torsion
T. Still the light can feel torsion if the latter is coupled nonminimally to
the electromagnetic field F by means of a supplementary Lagrangian of the type
l^2 T^2 F^2 (l = coupling constant). Recently Preuss suggested a specific
nonminimal term of this nature. We evaluate the spacetime relation of Preuss in
the background of a general O(3)-symmetric torsion field and prove by
specifying the optical metric of spacetime that this can yield birefringence in
vacuum. Moreover, we show that the nonminimally coupled homogeneous and
isotropic torsion field in a Friedmann cosmos affects the speed of light.Comment: Revtex, 12 pages, no figure
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