Frame dragging, vorticity and electromagnetic fields in axially symmetric stationary spacetimes

Herrera, L.; González, Guillermo; Pachón, Leonardo A.; Rueda, J. A.

doi:10.1088/0264-9381/23/7/011

Cited by 38 publications

(64 citation statements)

References 33 publications

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“…We must stress at this point that this is an observer dependent effect (as it should be because we are dealing with an inertial force) which manifests itself in the fact that the angular velocity of the gyroscope depends on the observer. An effect similar to this was pointed out in a particular case in [12] and this was latter confirmed in [22]. In the former reference it was shown that gyroscopes placed in the spacetime generated by a nonrotating charged magnetic dipole would precess.…”

Section: Coupling Of the Vorticity And The Poynting Vectorsupporting

confidence: 61%

Dynamical laws of superenergy in General Relativity

Gómez-Lobo

Lobo

2008

EAS Publications Series

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Abstract. The Bel and Bel-Robinson tensors were introduced nearly fifty years ago in an attempt to generalize to gravitation the energy-momentum tensor of electromagnetism. This generalization was successful from the mathematical point of view because these tensors share mathematical properties which are remarkably similar to those of the energy-momentum tensor of electromagnetism. However, the physical role of these tensors in General Relativity has remained obscure and no interpretation has achieved wide acceptance. In principle, they cannot represent energy and the term superenergy has been coined for the hypothetical physical magnitude lying behind them. In this work we try to shed light on the true physical meaning of superenergy by following the same procedure which enables us to give an interpretation of the electromagnetic energy. This procedure consists in performing an orthogonal splitting of the Bel and BelRobinson tensors and analysing the different parts resulting from the splitting. In the electromagnetic case such splitting gives rise to the electromagnetic energy density, the Poynting vector and the electromagnetic stress tensor, each of them having a precise physical interpretation which is deduced from the dynamical laws of electromagnetism (Poynting theorem). The full orthogonal splitting of the Bel and Bel-Robinson tensors is more complex but, as expected, similarities with electromagnetism are present. Also the covariant divergence of the Bel tensor is analogous to the covariant divergence of the electromagnetic energy-momentum tensor and the orthogonal splitting of the former is found. The ensuing equations are to the superenergy what the Poynting theorem is to electromagnetism. Some consequences of these dynamical laws of superenergy are explored, among them the possibility of defining superenergy radiative states for the gravitational field.

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Section: Coupling Of the Vorticity And The Poynting Vectorsupporting

confidence: 61%

Dynamical laws of superenergy in General Relativity

Gómez-Lobo

Lobo

2008

EAS Publications Series

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“…This may have the following two explanations: firstly, the formula (28) of [1] defining S ϕ is not quite appropriate for concrete applications, even in the simplest cases such as Manko's solution [3] for a magnetized Kerr-Newman mass utilized in [1]. And, secondly, the determinantal form of writing specific exact solutions employed in [1] only permits to arrive at some formal expressions which need to be further simplified by expanding the determinants.…”

Section: Introductionmentioning

confidence: 99%

“…To make things worse, it appears that the determinantal expressions of [1] which are entirely taken over from the paper [4] devoted to the multisoliton electrovac solution, are all presented with errors, including the definitions of the quantities h l (α n ). Such distorted formulae can be neither reproduced nor used in any physical analysis; neither they can be considered as a substitute to the elegant original formulae defining Manko's electrovac solution [3].…”

Section: Introductionmentioning

confidence: 99%

The Poynting vector of stationary axisationary electrovac spacetimes reexamined

Manko

Rodchenko

Садовников

et al. 2006

Class. Quantum Grav.

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“…He then suggests that such a circular flow of energy affects inertial frames by producing vorticity of congruences of particles, relative to the compass of inertia. Later, this conjecture was shown to be valid for a general axially symmetric stationary electrovacuum metric [19].…”

Section: Introductionmentioning

confidence: 93%

Electromagnetic radiation produces frame dragging

Herrera

Barreto

2012

Phys. Rev. D

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It is shown that for a generic electrovacuum spacetime, electromagnetic radiation produces vorticity of worldlines of observers in a Bondi-Sachs frame. Such an effect (and the ensuing gyroscope precession with respect to the lattice) which is a reminiscence of generation of vorticity by gravitational radiation, may be linked to the nonvanishing of components of the Poynting and the super-Poynting vectors on the planes othogonal to the vorticity vector. The possible observational relevance of such an effect is commented.

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Frame dragging, vorticity and electromagnetic fields in axially symmetric stationary spacetimes

Cited by 38 publications

References 33 publications

Dynamical laws of superenergy in General Relativity

Dynamical laws of superenergy in General Relativity

The Poynting vector of stationary axisationary electrovac spacetimes reexamined

Electromagnetic radiation produces frame dragging

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