Weyl covariant quadratic curvature gravity in three-dimensional Riemann-Cartan-Weyl spacetimes

Dereli, Tekin; Yetişmişoğlu, Cem

doi:10.1103/physrevd.100.044010

Cited by 3 publications

(3 citation statements)

References 23 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Furthermore, the Einstein-Cartan-Kibble-Sciama theory [19] allows to formulate the Einstein-Maxwell-Dirac theory in geometric form [48]. Gauge covariant generalizations are discussed in [49] and an extended conformal invariance and non-metricity are found in [50,51]. Nonsymmetric metric tensor has been used then to explore gravity and spin [52].…”

Section: Introductionmentioning

confidence: 99%

Consistent solution of Einstein–Cartan equations with torsion outside matter

Morawetz

2021

Class. Quantum Grav.

View full text Add to dashboard Cite

The Einstein–Cartan equations in first-order action of torsion are considered. From Belinfante–Rosenfeld equation special consistence conditions are derived for the torsion parameters relating them to the metric. Inside matter the torsion is given by the spin which leads to an extended Oppenhaimer–Volkov equation. Outside matter a second solution is found besides the torsion-free Schwarzschild one with the torsion completely determined by the metric and vice versa. This solution is shown to be of non-spherical origin and its uniqueness with respect to the consistence is demonstrated. Unusual properties are discussed in different coordinate systems where the cosmological constant assumes the role of the Friedman parameter in Friedman–Lamaître–Robertson–Walker cosmoses. Parameters are specified where wormholes are possible. Transformations are presented to explore and map regions of expanding and contracting universes to the form of static metrics. The autoparallel equations are solved exactly and compared with geodesic motion. The Weyl tensor reveals that the here found solution is of Petrov-D type.

show abstract

Section: Introductionmentioning

confidence: 99%

Consistent solution of Einstein–Cartan equations with torsion outside matter

Morawetz

2021

Class. Quantum Grav.

View full text Add to dashboard Cite

show abstract

“…A formulation using a first order constrained variational formalism in Riemann‐Cartan spaces in the language of exterior differential forms has been described by us before. [ 8–10 ]…”

Section: Introductionmentioning

confidence: 99%

The Variational Field Equations of Cosmological Topologically Massive Supergravity

Dereli

Yetişmişoğlu

2021

Fortschritte der Physik

Self Cite

View full text Add to dashboard Cite

We discuss the formulation of cosmological topologically massive (simple) supergravity theory in three‐dimensional Riemann‐Cartan space‐times. We use the language of exterior differential forms and the properties of Majorana spinors on 3‐dimensional space‐times to explicitly demonstrate the local supersymmetry of the action density involved. Exact coupled field equations that are complete in both of their bosonic and fermionic sectors are derived by a first order variational principle subject to a torsion‐constraint imposed by the method of Lagrange multipliers. Cotton and Cottino 2‐forms that are complete to all orders in the gravitino field are derived and their properties such as trace are investigated.

show abstract

“…Furthermore, the Einstein-Cartan-Kibble-Sciama theory [18] allows to formulate the Einstein-Maxwell-Dirac theory in geometric form [47]. Gauge covariant generalizations are discussed in [48] and an extended conformal invariance and non-metricity are found in [49]. Nonsymmetric metric tensor has been used then to explore gravity and spin [50].…”

Section: Introductionmentioning

confidence: 99%

Consistent solution of Einstein-Cartan equations with torsion outside matter

Morawetz

2020

Preprint

View full text Add to dashboard Cite

The Einstein-Cartan equations in first-order action of torsion are considered. From Belinfante-Rosenfeld equation special consistence conditions are derived for the torsion parameters relating them to the metric. Inside matter the torsion is given by the spin which leads to an extended Oppenhaimer-Volkov equation. Outside matter a second solution is found besides the torsion-free Schwarzschild one with the torsion completely determined by the metric and vice-versa. This solution is shown to be of non-spherical origin and its uniqueness with respect to the consistence is demonstrated. Unusual properties are discussed in different coordinate systems where the cosmological constant assumes the role of the Friedman parameter in Friedman-Lamaître-Robertson-Walker cosmoses. Parameters are specified where wormholes are possible. Transformations are presented to explore and map regions of expanding and contracting universes to the form of static metrics. The autoparallel equations are solved exactly and compared with geodesic motion. The Weyl tensor reveals that the here found solution is of Petrov-D type.

show abstract

Weyl covariant quadratic curvature gravity in three-dimensional Riemann-Cartan-Weyl spacetimes

Cited by 3 publications

References 23 publications

Consistent solution of Einstein–Cartan equations with torsion outside matter

Consistent solution of Einstein–Cartan equations with torsion outside matter

The Variational Field Equations of Cosmological Topologically Massive Supergravity

Consistent solution of Einstein-Cartan equations with torsion outside matter

Contact Info

Product

Resources

About