Teleparallel
Structures and Gravity Theories| Teleparallel
Structures and Gravity Theories |
In General > s.a. [gravitation]; lattice
field theory; stress-energy
pseudotensors.
* Idea: Also called absolute
parallelism; A combination of a Riemannian and a symplectic structure (?).
* History: Originally
proposed by Eintein in an attempt to unify gravity and electromagnetism;
Now studied as a theory of gravity in its own right.
* Gravity: An
alternative formulation of Einstein's equation in the framework of Riemann-Cartan
spacetimes,
in which the gravitational field is described
by the torsion of the curvature-free Weitzenböck connection
of the TEGR (rather than the
curvature of the torsion-free connection of general relativity); A gauge theory
for the
translation group, which describes the gravitational interaction by a force
similar to the Lorentz force of electromagnetism, a non-universal interaction.
@ General references: Mielke AP(92);
in Maluf & Kneip JMP(97)gq/95 [refs];
Nester & Yo gq/98/ChJP;
de Andrade et al gq/00-in;
Itin gq/00-MG9;
Aldrovandi
et al BJP(04)gq/03-in;
Salgado NCB(06)
[and EH action].
@ And quantum gravity:
Aldrovandi et al gq/05-in,
gq/06-in;
> s.a. loop
quantum gravity; regge
calculus.
@ Solutions: Nashed gq/05 [axisymmetric],
MPLA(06)
[Reissner-Nordström]; Sharif & Amir GRG(06)gq
[Friedmann, Lewis-Papapetrou]; Nashed gq/06 [charged,
spherical]; > s.a. bianchi
I, black
holes, gödel, schwarzschild,
spherical solutions, wormholes.
> Online resources: see Wikipedia page.
Hamiltonian Formulation
@ General references: Maluf JMP(94),
GRG(96);
Blagojevic & Nikolic PRD(00)ht;
Blagojevic & Vasilic
CQG(00)ht [gauge
symmetries], PRD(01)ht/00 [conservation
laws]; Maluf & da
Rocha-Neto GRG(99)gq/98,
PRD(01)gq/00;
Chee et al gq/01;
Pimentel et al NCB(05)gq/04 [Hamilton-Jacobi
approach].
@ Energy, positivity: Mielke PRD(90); Chee PRD(03)gq/04 [self-dual].
@ Energy, specific solutions:
Maluf & Kneip gq/95 [Kerr];
Maluf & da
Rocha-Neto JMP(99)gq/98 [Bondi
metric, static limit]; da Rocha-Neto & Castello-Branco JHEP(03)gq/02 [Kerr & Kerr-AdS];
Nashed MPLA(07)gq/06
[Kerr-Newman].
@ Energy-momentum: Maluf GRG(98)gq/97, de Andrade et al PRL(00)
[density]; Maluf et al PRD(02)gq;
Maluf AdP(05)gq
[and gravitational pressure]; Blagojevic & Vasilic
CQG(02)gq [with
cosmological constant]; Maluf et al GRG(07)gq/05 [arbitrary
tetrads, background subtraction]; Xu & Jing CQG(06)gq [energy,
stationary axisymmetric]; > s.a. gravitational
energy.
@ Other quantities:
Maluf et al CQG(06)gq [angular
momentum].
@ Canonical quantization: von Borzeszkowski IJMPA(02).
Modified Versions and Related Concepts > s.a. Center
of Mass; Defects; unified
theories.
* Parametrized: A
more general version, in which the curvature does not vanish; Paths can be
taken to represent physical trajectories, and is used as basis for a unified
theory of gravity and electromagnetism.
@ With matter: Mosna & Pereira GRG(04)gq/03 [coupling
prescription]; Salti & Aydogdu gq/05 [spin-1,
Bianchi I].
@ Other approaches and variations: Wanas et al ASS(95)gq/02 [path
equations]; Itin GRG(99)gq/98,
GRG(99)gq/98,
IJMPD(01)gq/99 [coframe
version]; de Andrade et al PRD(00)
[for Kaluza-Klein theory]; Kohler GRG(00)
[semi-teleparallel]; Fonseca IJMPA(02)
[and equivalence principle];
Obukhov & Pereira PRD(03)
[metric-affine approach]; Zubkov PLB(04)
[on the lattice]; Ferraro & Fiorini gq/06 [Born-Infeld-type
modification].
@ Parametrized: Wanas TJP(00)gq, gq/02-in, gq/04;
Wanas et al G&C(00)gq/98, gq/05-in
[spin-gravity interaction, COW results].
> Phenomenology: see gravitomagnetism.
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Send feedback and suggestions to bombelli at olemiss.edu – Modified
5 jul 2008