Exact solution for a nonstatic cylindrically symmetric perfect fluid distribution in Einstein–Cartan theory

Manna, B.; Sinha, S.; Sahoo, S.

doi:10.1134/s0202289316010114

Cited by 6 publications

(5 citation statements)

References 19 publications

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“…The exact solutions of Einstein-Cartan theory are based on different Lagrangians considering the contortion in different forms. Mostly the Weyssenhoff spin-fluid assumption [61] about the structure of torsion is used [31,[62][63][64][65][66][67][68]. An averaging about randomly oriented spins leads basically to a shift in momentum and energy densities [34].…”

Section: Introductionmentioning

confidence: 99%

“…A string approach resulting into slightly different equations of motions of Einstein-Cartan-Kalb-Raimond coupling can be found in [69]. The tetrad formalism allows to construct systematically solutions [65,67,70] not restricted to spin-liquids. The Einstein-Cartan-Kibble-Sciama scheme was solved in [68] with higher-order terms of contortion tensor.…”

Section: Introductionmentioning

confidence: 99%

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Consistent solution of Einstein–Cartan equations with torsion outside matter

Morawetz

2021

Class. Quantum Grav.

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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.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Consistent solution of Einstein–Cartan equations with torsion outside matter

Morawetz

2021

Class. Quantum Grav.

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“…clearly different from B(r) = 1 reported there. An exact solution of axially symmetric solution was presented in [63] with B(t) = c 2 /(t + c) and…”

Section: Comparison With Known Solutionsmentioning

confidence: 99%

“…The exact solutions of Einstein-Cartan theory are based on different Lagrangians considering the contortion in different forms. Mostly the Weyssenhoff spinfluid assumption [57] about the structure of torsion is used [30,[58][59][60][61][62][63][64]. An averaging about randomly oriented spins leads basically to a shift in momentum and energy densities [33].…”

Section: Introductionmentioning

confidence: 99%

“…A string approach resulting into slightly different equations of motions of Einstein-Cartan-Kalb-Raimond coupling can be found in [65]. The tetrad formalism allows to construct systematically solutions [61,63,66] not restricted to spin-liquids. The Einstein-Cartan-Kibble-Sciama scheme was solved in [64] with higher-order terms of contortion tensor.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Consistent solution of Einstein-Cartan equations with torsion outside matter

Morawetz

2020

Preprint

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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