A Solution of the Mitra Paradox

Grøn, Øyvind

doi:10.3390/universe2040026

Cited by 2 publications

(2 citation statements)

References 12 publications

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“…This form (116) gives a variety of possible representations. Please note that with (115) we give the inverse formulas of the Mitra paradox [86][87][88] dating back to the Florides solution [89] how transform FLRW metric into a Schwarzschild metric. Here we discuss a similar problem within our new solution, i.e.…”

Section: Accelerations and Effects Of Curvaturementioning

confidence: 99%

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: Accelerations and Effects Of Curvaturementioning

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

“…This form (116) gives a variety of possible representations. Please note that with (115) we give the inverse formulas of the Mitra paradox [80][81][82] dating back to the Florides solution [83] how to transform FLRW metric into a Schwarzschild metric. Here we discuss a similar problem within our new solution, i.e.…”

Section: Flrw Formsmentioning

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

A Solution of the Mitra Paradox

Cited by 2 publications

References 12 publications

Consistent solution of Einstein–Cartan equations with torsion outside matter

Consistent solution of Einstein–Cartan equations with torsion outside matter

Consistent solution of Einstein-Cartan equations with torsion outside matter

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