Gauging<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>N</mml:mi><mml:mo>=</mml:mo><mml:mn>2</mml:mn><mml:mn /></mml:math>supersymmetric nonlinear σ models in the Atiyah-Ward space-time

Carvalho, Marcelo; Oliveira, M. W. de

doi:10.1103/physrevd.55.7574

Cited by 6 publications

(3 citation statements)

References 28 publications

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“…For r → ∞, the geometry becomes a Minkowski flat spacetime. For r > r H the metric signature is Lorentzian, however, as we pass through the horizon (r < r H ) the radial component becomes negative and the metric signature changes to (−−++), exhibiting a spacetime with 2+2-signature [64,65,66,67,68,69,70]. Such a metric signature is physically interesting as it has applications in self-dual super-gravity and super-string theories [71,72,73,74,75,76,77,78,79,80], the analysis of spinors in 2 + 2 dimensions [81,82], cosmological models [83] and black hole like solutions [84].…”

Section: Class a Solutionsmentioning

confidence: 99%

Static vacuum solutions on curved space–times with torsion

Shabani

Ziaie

2018

Int. J. Mod. Phys. A

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The Einstein-Cartan-Kibble-Sciama (ECKS) theory of gravity naturally extends Einstein's general relativity (GR) to include intrinsic angular momentum (spin) of matter. The main feature of this theory consists of an algebraic relation between spacetime torsion and spin of matter which indeed deprives the torsion of its dynamical content. The Lagrangian of ECKS gravity is proportional to the Ricci curvature scalar constructed out of a general affine connection so that owing to the influence of matter energy-momentum and spin, curvature and torsion are produced and interact only through the spacetime metric. In the absence of spin, the spacetime torsion vanishes and the theory reduces to GR. It is however possible to have torsion propagation in vacuum by resorting to a model endowed with a non-minimal coupling between curvature and torsion. In the present work we try to investigate possible effects of the higher order terms that can be constructed from spacetime curvature and torsion, as the two basic constituents of Riemann-Cartan geometry. We consider Lagrangians that include fourth-order scalar invariants from curvature and torsion and then investigate the resulted field equations. The solutions that we find show that there could exist, even in vacuum, nontrivial static spacetimes that admit both black holes and naked singularities.

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Section: Class a Solutionsmentioning

confidence: 99%

Static vacuum solutions on curved space–times with torsion

Shabani

Ziaie

2018

Int. J. Mod. Phys. A

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“…and therefore the action (4) is reduced to the Nambu-Goto action. It turns out that the constraint (5), and consequently the action (4), can be obtained as a first quantization of the quatl action [15] (see also Refs. [18] and [19])…”

Section: -The Signatures 2 + 2 In the Quatl Theorymentioning

confidence: 99%

“…Through the years it has become evident that the 2+2-signature is not only mathematically interesting [1]- [2] (see also Refs. [3]- [5]) but also physically. In fact, the 2+2−signature emerges in several physical context, including self-dual gravity a la Plebanski (see Ref.…”

Section: -Introductionmentioning

confidence: 99%

The (2+2)-Signature and the (1+1)-Matrix-Brane

Nieto

2007

Mod. Phys. Lett. A

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We discuss different aspects of the 2 + 2-signature from the point of view of the quatl theory. In particular, we compare two alternative approaches to such a spacetime signature, namely the 1+1-matrix-brane and the 2+2-target spacetime of a string. This analysis also reveals hidden discrete symmetries of the 2 + 2-brane action associated with the 2 + 2-dimensional sector of a 2 + 10-dimensional target background.

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