Kaluza-Klein gravity

Overduin, James; Wesson, Paul S.

doi:10.1016/s0370-1573(96)00046-4

Cited by 826 publications

(936 citation statements)

References 343 publications

(750 reference statements)

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“…It is well known that there are many difficulties in realizing this goal, nevertheless it seems important to explore the properties of these higher dimensional theories and to derive consequences susceptible to experimental test. For a review of higher dimensional unified theories from the point of view of general relativity, we refer the reader to the report of Overduin and Wesson [5]. In this paper we discuss the gravitational sector of the theory.…”

Section: Introductionmentioning

confidence: 99%

Geometrical features of4+dgravity

Agnese

Camera

1998

Phys. Rev. D

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Section: Introductionmentioning

confidence: 99%

Geometrical features of4+dgravity

Agnese

Camera

1998

Phys. Rev. D

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“…A number of authors [1][2][3][4] have studied physics of the universe in higher-dimensional space-time. Overduin and Wesson [5] have presented an excellent review of higher-dimensional unified theories, in which the cosmological and astrophysical implications of extra-dimension have been discussed. Kaluza-Klein theory has a long and venerable history.…”

Section: Introductionmentioning

confidence: 99%

Big Rip Singularity in 5D Viscous Cosmology

Khadekar¹,

Gharad²

2014

TOAAJ

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Dark energy of phantom or quintessence nature with an equation of state parameter almost equal to -1 often leads to a finite future singularity. The singularities in the dark energy universe, by assuming bulk viscosity in the framework of Kaluza-Klein theory of gravitation have been discussed. Particularly, it is proved, that the physically natural assumption of letting the bulk viscosity be proportional to the scalar expansion in a spatially 5D FRW universe, can derive the fluid into the phantom region ( < -1), even if it lies in the quintessence region ( >-1) in the non viscous case. It is also shown that influence of the viscosity term acts to shorten the singularity time but it does not change the nature of singularity in the framework of higher dimensional space time.

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“…Another common strategy is to introduce extra-dimensions while constraining the physical particles to a (3+1) dimensional hyper-surface as in the brane-world theories [11][12][13]. In this paper we explore a different approach by introducing metric-dependent torsion in Kaluza-Klein type theories [14,15] with one extra dimension.…”

Section: Introductionmentioning

confidence: 99%

Metric theory of gravity with torsion in an extra dimension

2012

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We consider a theory of gravity with a hidden extra-dimension and metric-dependent torsion. A set of physically motivated constraints are imposed on the geometry so that the torsion stays confined to the extra-dimension and the extra-dimension stays hidden at the level of four dimensional geodesic motion. At the kinematic level, the theory maps on to General Relativity, but the dynamical field equations that follow from the action principle deviate markedly from the standard Einstein equations. We study static spherically symmetric vacuum solutions and homogeneous-isotropic cosmological solutions that emerge from the field equations. In both cases, we find solutions of significant physical interest. Most notably, we find positive mass solutions with naked singularity that match the well known Schwarzschild solution at large distances but lack an event horizon. In the cosmological context, we find oscillatory scenario in contrast to the inevitable singular big bang of the standard cosmology.

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Kaluza-Klein gravity

Cited by 826 publications

References 343 publications

Geometrical features of4+dgravity

Geometrical features of4+dgravity

Big Rip Singularity in 5D Viscous Cosmology

Metric theory of gravity with torsion in an extra dimension

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