The gravitational field of light

Bonnor, W. B.

doi:10.1007/bf01645484

Cited by 132 publications

(134 citation statements)

References 7 publications

(4 reference statements)

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“…The source is taken to be a "Bonnor beam" [18], namely an infinitely long straight beam of radius r 0 , propagating at the speed of light in the direction of the v axis. It corresponds to the energy momentum tensor:…”

Section: The Beam Metricmentioning

confidence: 99%

“…The background line element is then given by: 18) where h (1) 0 and h (2) 0 are of the form (2.6) with the appropriate distances r andr. We concentrate on the behaviour of gravitons propagating between the two beams, such that the impact parameter b 1 with respect to the first beam and b 2 with respect to the second one are opposite, b 1 + b 2 = 0.…”

Section: Equations Of Motion For the Probe Gravitonmentioning

confidence: 99%

“…10 Using the results of section 4, the equations of motion read: 18) and have a degenerate causal cone as discussed above. However, this can be fixed by adding extra, lower order terms to the action which have equations of motion with four derivatives acting on the probe graviton.…”

Section: Swift Behaviour Of R 4 Actionsmentioning

confidence: 99%

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Superluminal graviton propagation

Benakli

Chapman

2016

Phys. Rev. D

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We use the method of characteristics to study superluminal graviton (thereof called swift graviton) propagation in theories of higher curvature gravity of the form (Riemann) 2 , (Riemann) 3 , ∇ 2 (Riemann) 2 and (Riemann) 4 . We consider a pp-wave background. When probed by gravitons with an appropriate polarisation, several of the gravitational theories under consideration exhibit characteristic hypersurfaces outside the flat spacetime light-cone. a kbenakli@lpthe.jussieu.fr b schapman@perimeterinstitute.ca c darme@lpthe.jussieu.fr d yaronoz@post.tau.ac.il arXiv:1512.07245v2 [hep-th]

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Section: The Beam Metricmentioning

confidence: 99%

Section: Equations Of Motion For the Probe Gravitonmentioning

confidence: 99%

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Superluminal graviton propagation

Benakli

Chapman

2016

Phys. Rev. D

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“…Tolman [1] found a solution in the linearized approximation. Peres [2,3] and Bonnor [4] obtained exact solutions of the Einstein equations for a pencil of light. These solutions belong to the class of pp-waves.…”

Section: Introductionmentioning

confidence: 99%

Gravitational field of relativistic gyratons

2005

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The metric ansatz (1) is used to describe the gravitational field of a beam-pulse of spinning radiation (gyraton) in an arbitrary number of spacetime dimensions D. First we demonstrate that this metric belongs to the class of metrics for which all scalar invariants constructed from the curvature and its covariant derivatives vanish. Next, it is shown that the vacuum Einstein equations reduce to two linear problems in (D − 2)−dimensional Euclidean space. The first is to find the static magnetic potential A created by a point-like source. The second requires finding the electric potential Φ created by a point-like source surrounded by given distribution of the electric charge. To obtain a generic gyraton-type solution of the vacuum Einstein equations it is sufficient to allow the coefficients in the corresponding harmonic decompositions of solutions of the linear problems to depend arbitrarily on retarded time u and substitute the obtained expressions in the metric ansatz. These solutions are generalizations of the gyraton metrics found in [5]. We discuss properties of the solutions for relativistic gyratons and consider special examples.

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“…The exact solutions of the Einstein equations for the pencil of light has been found by Peres [2,3] and Bonnor [4]. The gravitational field of a spinning beam-pulse of finite duration, a gyraton, generalizes these solutions to the case when the beam-pulse carries an angular momentum [5,6].…”

Section: Introductionmentioning

confidence: 93%

Relativistic gyratons in asymptotically AdS spacetime

Frolov

Zelnikov

2005

Phys. Rev. D

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We study the gravitational field of a spinning radiation beam-pulse (a gyraton) in a D−dimensional asymptotically AdS spacetime. It is shown that the Einstein equations for such a system reduce to a set of two linear equations in a (D − 2)−dimensional space. By solving these equations we obtain a metric which is an exact solution of gravitational equations with the (negative) cosmological constant. The explicit metrics for 4D and 5D gyratons in asymptotically AdS spacetime are given and their properties are discussed.

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The gravitational field of light

Cited by 132 publications

References 7 publications

Superluminal graviton propagation

Superluminal graviton propagation

Gravitational field of relativistic gyratons

Relativistic gyratons in asymptotically AdS spacetime

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