Spin, torsion, forces

Hammond, Richard T.

doi:10.1007/bf02108005

Cited by 45 publications

(43 citation statements)

References 12 publications

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“…Even though, up to date, there is no experimental evidence for introducing torsion in gravity, there are some theoretical arguments in favor to consider torsion fields as a desired component in any spacetime theory. [9][10][11] The Cauchy problem in gravitational collapse, 12 for instance, is intrinsicaly related to the affine structure of the manifold. Thus, one might hope to avoid its divergences while including torsion effects.…”

Section: -8mentioning

confidence: 99%

Torsion Corrections in Brane World Gravity

Maier

2011

Int. J. Mod. Phys. Conf. Ser.

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In the frame of brane world theory the effects of torsion fields are examined. Considering a five dimensional Non-Riemannian bulk with a noncompact extra dimension, we derive the modified Einstein field equations in a four dimensional (3-brane) arbitrary manifold embedded in this bulk. The necessary matching conditions are investigated assuming that the torsion in the bulk is continuous. In this context the extrinsic curvature is connected to the matter content restricted to the brane and the torsion components of the bulk. As a final result we observe that the corrections -due to torsion fields -in the modified field equations depend crucially on the embedding that is taken. Therefore, by considering a simple embedding, we develop a cosmological model that describes a flat FLRW embedded in a 5-dimensional de Sitter (or Anti de Sitter) spacetime, where a 5-dimensional cosmological constant emerges from the torsion components of the bulk.

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Section: -8mentioning

confidence: 99%

Torsion Corrections in Brane World Gravity

Maier

2011

Int. J. Mod. Phys. Conf. Ser.

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“…Really there is another way available to obtain propagation; it consists, in analogy to Yang Mills theory, in introducing square terms in curvature and torsion in the Einstein-Hilbert action. This approach is discussed, among others, in [27], [20], [28], [29], [18], [2]; here we make the different choice of using torsion potentials which, we believe, has these advantages: 1) we can preserve the simplicity of the Einstein-Hilbert action with the minimal substitution Γ αβγ → G αβγ + K αβγ ; 2) we have put both riemannian connection and torsion on the same level since as the former is derived from metric, the latter is derived from potentials; 3) in the limit of small and slow varying φ the action (13) is equivalent to the low energy limit of string theory lagrangian, as already mentioned in [11](and reference therein), suggesting torsion potentials to be a necessary ingredient in more general theory.…”

Section: The Form Of the Torsion Tensormentioning

confidence: 99%

Test Particles Behavior in the Framework of a Lagrangian Geometric Theory With Propagating Torsion

Aprea

Montani

Ruffini

2003

Int. J. Mod. Phys. D

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Working in the lagrangian framework, we develop a geometric theory in vacuum with propagating torsion; the antisymmetric and trace parts of the torsion tensor, considered as derived from local potential fields, are taken and, using the minimal action principle, their field equations are calculated. Actually these will show themselves to be just equations for propagating waves giving torsion a behavior similar to that of metric which, as known, propagates through gravitational waves. Then we establish a principle of minimal substitution to derive test particles equation of motion, obtaining, as result, that they move along autoparallels. We then calculate the analogous of the geodesic deviation for these trajectories and analyze their behavior in the nonrelativistic limit, showing that the torsion trace potential φ has a phenomenology which is indistinguishable from that of the gravitational newtonian field; in this way we also give a reason for why there have never been evidence for it.

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“…In reference [1] Hammond adapted the method established by Papapetrou [10] to develop the equations of motion for a small body in a gravitational and torsion field (no scalar field). This method is used here to write the equations of motion for a small body in a combined gravitational and torsion field in which the scalar field is present.…”

Section: Equations Of Motion For a Small Test Bodymentioning

confidence: 99%

“…, andj αβ = √ −gj αβ so that a tilde denotes density, where K is an arbitrary coupling constant for the spin field introduced by Hammond in [1]. It then follows that…”

Section: Equations Of Motion For a Small Test Bodymentioning

confidence: 99%

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Tensor–scalar Torsion

2001

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A theory of gravity with torsion is examined in which the torsion tensor is constructed from the exterior derivative of an antisymmetric rank two potential plus the dual of the gradient of a scalar field. Field equations for the theory are derived by demanding that the action be stationary under variations with respect to the metric, the antisymmetric potential, and the scalar field. A material action is introduced and the equations of motion are derived. The correct conservation law for rotational angular momentum plus spin is observed to hold in this theory.

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Spin, torsion, forces

Cited by 45 publications

References 12 publications

Torsion Corrections in Brane World Gravity

Torsion Corrections in Brane World Gravity

Test Particles Behavior in the Framework of a Lagrangian Geometric Theory With Propagating Torsion

Tensor–scalar Torsion

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