Spin strings in gravitation

Иваненко, Д.; Burinskii, Alexander

doi:10.1007/bf00892054

Cited by 10 publications

(36 citation statements)

References 12 publications

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“…It corresponds exactly to a subtraction of this radiation, leading to T µν reg = 0 [9,10]. On the quantum level this procedure is equivalent to the postulate on the absence of radiation for oscillating strings.…”

Section: Solution Of the Field Equationsmentioning

confidence: 99%

“…This case has attracted attention as a model of a spinning particle [9,10,18,27,[24][25][26]. In [9,10,27] the Kerr singular ring was considered as a closed relativistic string forming the source of spinning particle [18].…”

Section: Solution Of the Field Equationsmentioning

confidence: 99%

“…The basic ideas of this approach were published in [9][10][11]5]. In [5] this retarded-time construction was applied to describe the boosted Kerr solution.…”

Section: Introductionmentioning

confidence: 99%

“…In the Kerr-Schild backgrounds the Kerr theorem acquires a broader content [8,9,11]. It allows one to obtain the position of singular lines, caustics of the PNC, as a solution of the system of equations…”

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confidence: 99%

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Complex Kerr geometry and nonstationary Kerr solutions

Burinskii

2003

Phys. Rev. D

122

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In the frame of the Kerr-Schild approach, we consider complex structure of the Kerr geometry which is determined by a complex world line of a complex source. The real Kerr geometry is represented as a real slice of this complex structure. The Kerr geometry is generalized to the nonstationary case when the current geometry is determined by a retarded time and is defined by a retarded-time construction via a given complex world line of source. A general exact solution corresponding to arbitrary motion of a spinning source is obtained. The acceleration of the source is accompanied by a lightlike radiation along the principal null congruence. It generalizes to the rotating case the known Kinnersley class of "photon rocket" solutions. PACS number(s): 04

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Section: Solution Of the Field Equationsmentioning

confidence: 99%

Section: Solution Of the Field Equationsmentioning

confidence: 99%

“…The basic ideas of this approach were published in [9][10][11]5]. In [5] this retarded-time construction was applied to describe the boosted Kerr solution.…”

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Complex Kerr geometry and nonstationary Kerr solutions

Burinskii

2003

Phys. Rev. D

122

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“…It has the anomalous gyromagnetic ratio g = 2, as that of the Dirac electron [2], stringy structures [3][4][5][6] and other features allowing one to construct a semiclassical model of the extended electron [6][7][8][9][10][11] which has the Compton size and possesses the wave properties [6,8,12]. So, we will be speaking on the Kerr spinning particle, assuming a particle-like source of the Einstein -Maxwell field equations generating the external KerrNewman field and having a definite position of centrum of mass, and the definite momentum and orientation of angular momentum.…”

Section: Introductionmentioning

confidence: 99%

The Kerr Theorem and Multi-Particle Kerr–schild Solutions

Burinskii

2007

Int. J. Geom. Methods Mod. Phys.

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We discuss and prove an extended version of the Kerr theorem which allows one to construct the exact solutions of the Einstein-Maxwell field equations from a holomorphic generating function F of twistor variables. The exact multiparticle Kerr-Schild solutions are obtained from generating function of the form F = k iFi, where Fi are partial generating functions for the spinning particles i = 1...k. Solutions have an unusual multi-sheeted structure. Twistorial structures of the i-th and j-th particles do not feel each other, forming a type of its internal space. Gravitational and electromagnetic interaction of the particles occurs via the light-like singular twistor lines. As a result, each particle turns out to be 'dressed' by singular pp-strings connecting it to other particles. We argue that this solution may have a relation to quantum theory and hints a geometrical (twistorial) way to quantum gravity.

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Complex structure of Kerr geometry and rotating photon rocket solutions

Burinskii¹

2003

Class. Quantum Grav.

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In the frame of the Kerr-Schild approach, we obtain a generalization of the Kerr solution to a nonstationary case corresponding to a rotating source moving with arbitrary acceleration. Similar to the Kerr solution, the solutions obtained have the geodesic and shear free principal null congruence. The current parameters of the solutions are determined by a complex retarded-time construction via a given complex worldline of source. The real part of the complex worldline defines the values of the boost and acceleration while the imaginary part controls the rotation. The acceleration of the source is accompanied by a lightlike radiation along the principal null congruence. The solutions obtained generalize to the rotating case the known Kinnersley class of the "photon rocket" solutions.

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Spin strings in gravitation

Cited by 10 publications

References 12 publications

Complex Kerr geometry and nonstationary Kerr solutions

Complex Kerr geometry and nonstationary Kerr solutions

The Kerr Theorem and Multi-Particle Kerr–schild Solutions

Complex structure of Kerr geometry and rotating photon rocket solutions

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