Extended model of the electron in general relativity

López, Carlos A.

doi:10.1103/physrevd.30.313

Cited by 136 publications

(183 citation statements)

References 12 publications

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“…It displays also some remarkable relations to the structure of spinning particles [1,2,3,4,5,6,7,8,9,10].…”

Section: Introduction and Basic Resultsmentioning

confidence: 99%

“…Due to the twofolded topology, the Kerr circular ring turns out to be the "Alice" string, which corresponds to a very minimal nonabelian generalization of the EinsteinMaxwell system. A truncation of the negative sheet leads to the appearance of a source in the form of a relativistically rotating disk [2] and to the class of the superconducting disklike [5] and baglike [9] models of spinning particle.…”

Section: Introduction and Basic Resultsmentioning

confidence: 99%

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Twistorial analyticity and three stringy systems of the Kerr spinning particle

Burinskii

2004

Phys. Rev. D

119

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The Kerr spinning particle has a remarkable analytical twistorial structure. Analyzing electromagnetic excitations of the Kerr circular string which are aligned to this structure, we obtain a simple stringy skeleton of the spinning particle which is formed by a topological coupling of the Kerr circular singular string and by an axial singular stringy system.We show that the chiral traveling waves, related to an orientifold world-sheet of the axial stringy system, are described by the massive Dirac equation, so we argue that the axial string may play the part of a stringy carrier of wave function and play also a dominant role in the scattering processes.A key role of the third, complex Kerr string is discussed. We conjecture that it may be one more alternative to the Witten twistor string, and a relation to the spinor helicity formalism is also discussed.

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“…It displays also some remarkable relations to the structure of spinning particles [1,2,3,4,5,6,7,8,9,10].…”

Section: Introduction and Basic Resultsmentioning

confidence: 99%

Section: Introduction and Basic Resultsmentioning

confidence: 99%

Twistorial analyticity and three stringy systems of the Kerr spinning particle

Burinskii

2004

Phys. Rev. D

119

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“…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%

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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“…There is another choice of location for the source of the Kerr-Newman spacetime, as it is shown in [16], [17]. Instead of considering the surface r = 0, it is possible to match the Kerr-Newman manifold to Minkowski spacetime at the pseudosphere r = r 0 = e 2 /2m.…”

Section: An Example: the Kerr-newman Spacetimementioning

confidence: 99%

Magnetic surfaces in stationary axisymmetric general relativity

Fernández–Jambrina¹

1996

Class. Quantum Grav.

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In this paper a new method is derived for constructing electromagnetic surface sources for stationary axisymmetric electrovac spacetimes endowed with non-smooth or even discontinuous Ernst potentials. This can be viewed as a generalization of some classical potential theory results, since lack of continuity of the potential is related to dipole density and lack of smoothness, to monopole density. In particular this approach is useful for constructing the dipole source for the magnetic field. This formalism involves solving a linear elliptic differential equation with boundary conditions at infinity. As an example, two different models of surface densities for the Kerr-Newman electrovac spacetime are derived.

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Extended model of the electron in general relativity

Cited by 136 publications

References 12 publications

Twistorial analyticity and three stringy systems of the Kerr spinning particle

Twistorial analyticity and three stringy systems of the Kerr spinning particle

Complex Kerr geometry and nonstationary Kerr solutions

Magnetic surfaces in stationary axisymmetric general relativity

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