Gravitational field of charged gyratons

Frolov, Valeri P.; Zelnikov, Andrei

doi:10.1088/0264-9381/23/6/014

Cited by 34 publications

(40 citation statements)

References 20 publications

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“…A complementary generalisation of pp-waves (13) was considered by Bonnor ([Bon70]) and independently by Frolov and his collaborators in [FF05,FIZ05,FZ06,YZF07]. Here the ndimensional transverse space N is considered to remain flat but non-trivial off-diagonal terms A i (x, u) are allowed to obtain gyratonic pp-waves…”

Section: The Spacetime Metricmentioning

confidence: 99%

Completeness of general pp -wave spacetimes and their impulsive limit

Sämann¹,

Steinbauer²,

Švarc³

2016

Class. Quantum Grav.

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We investigate geodesic completeness in the full family of pp-wave or Brinkmann spacetimes in their extended as well as in their impulsive form. This class of geometries contains the recently studied gyratonic pp-waves, modelling the exterior field of a spinning beam of null particles, as well as NPWs, which generalise classical pp-waves by allowing for a general wave surface. The problem of geodesic completeness reduces to the question of completeness of trajectories on a Riemannian manifold under an external force field. Building upon respective recent results we derive completeness criteria in terms of the spatial asymptotics of the profile function in the extended case. In the impulsive case we use a fixed point argument to show that irrespective of the behaviour of the profile function all geometries in the class are complete.

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Section: The Spacetime Metricmentioning

confidence: 99%

Completeness of general pp -wave spacetimes and their impulsive limit

Sämann¹,

Steinbauer²,

Švarc³

2016

Class. Quantum Grav.

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“…Solutions for electrically charged gyratons were obtained in [21]. The gyraton solutions might be used for study the gravitational interaction of ultrarelativistic particles with spin (and charge).…”

Section: Summary and Discussionmentioning

confidence: 99%

Gravitational Field of Gyratons

Frolov

2007

Int J Theor Phys

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A gyraton is an object moving with the speed of light and having finite energy and internal angular momentum (spin). First, we derive the gravitational field of a gyraton in the linear approximation. After this we study solutions of the Einstein equations for gyratons. We demonstrate that these solutions in 4 and higher dimensions reduce to two linear problems in a Euclidean space. We obtain the exact solutions for relativistic gyratons, discuss their properties, and consider special examples.

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“…For the initial conditions given above, the Kinetic energy of the particle increases or decreases after the passage of the wave, according to the sign oḟ ρ 0 , as shown in Figures [10] and [11]. We recall that the dot represents variation with respect to u.…”

Section: H 0 Given By Equation (16)mentioning

confidence: 99%

“…Likewise, ifρ 0 < 0, the particle is initially getting away from the source. As Figures [10] (ρ 0 > 0) and [11] (ρ 0 < 0) indicate, the particle gain or loose energy as it approaches or gets away from the source located around the axis z = 0.…”

Section: H 0 Given By Equation (16)mentioning

confidence: 99%

Kinetic energy and angular momentum of free particles in the gyratonic pp-waves space-times

Maluf

Rocha-Neto

Ulhoa

et al. 2018

Class. Quantum Grav.

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Gyratonic pp-waves are exact solutions of Einstein's equations that represent non-linear gravitational waves endowed with angular momentum. We consider gyratonic pp-waves that travel in the z direction and whose time dependence on the variable u = 1 √ 2 (z − t) is given by gaussians, so that the waves represent short bursts of gravitational radiation propagating in the z direction. We evaluate numerically the geodesics and velocities of free particles in the space-time of these waves, and find that after the passage of the waves both the kinetic energy and the angular momentum per unit mass of the particles are changed. Therefore there is a transfer of energy and angular momentum between the gravitational field and the free particles, so that the final values of the energy and angular momentum of the free particles may be smaller or larger in magnitude than the initial values.

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Gravitational field of charged gyratons

Abstract: Abstract. We study relativistic gyratons which carry an electric charge. The Einstein-Maxwell equations in arbitrary dimensions are solved exactly in the case of a charged gyraton propagating in an asymptotically flat metric.

Cited by 34 publications

References 20 publications

Completeness of general pp -wave spacetimes and their impulsive limit

Completeness of general pp -wave spacetimes and their impulsive limit

Gravitational Field of Gyratons

Kinetic energy and angular momentum of free particles in the gyratonic pp-waves space-times

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