arXiv subjects

Alexander Burinskii

Publications and source records attributed to Alexander Burinskii.

68 records · Page 4Linked to original sources

arXiv2002

Regular Sources of the Kerr-Schild class for Rotating and Nonrotating Black Hole Solutions

A unified approach to regular interiors of black holes with smooth matter distributions in the core region is given. The approach is based on a class of Kerr-Schild metrics representing minimal deformations of the Kerr-Newman solution, and allows us to give a common treatment for (charged and uncharged) rotating and nonrotating black holes. It is shown that the requirement of smoothness of the source constraints the structure of the core region in many respects: in particular, for Schwarzschild holes a de Sitter core can be selected, which is surrounded by a smooth shell giving a leading contribution to the total mass of the source. In the rotating, noncharged case the source has a similar structure, taking the form of a (anisotropic and rotating) de Sitter-like core surrounded by a rotating elliptic shell. The Kerr singular ring is regularized by anisotropic matter rotating in the equatorial plane, so that the negative sheet of the Kerr geometry is absent. In the charged case the sources take the form of ``bags'', which can have de Sitter or anti de Sitter interiors and a smooth domain wall boundary, with a tangential stress providing charge confinement. The ADM and Tolman relations are used to calculate the total mass of the sources.

gr-qc↗

arXiv2001

Super black hole as spinning particle: Supersymmetric baglike core

We consider particlelike solutions to supergravity based on the Kerr-Newman black hole (BH) solution. The BH singularity is regularized by means of a phase transition to a new vacuum state near the core region confining a dual gauge field. Supersymmetric BPS-saturated domain wall model is suggested which can provide this phase transition and formation the stable charged superconducting core. For spinning particle the core takes the form of thin, relativistically rotaiting disk.

hep-ph↗

arXiv2001

Supersymmetric Bag Model as a Development of the Witten Superconducting String

We consider particlelike solutions to supergravity based on the Kerr-Newman BH solution. The BH singularity is regularized by means of a phase transition to a new superconducting vacuum state near the core region. We show that this phase transition can be controlled by gravity in spite of the extreme smallness of the local gravitational field. Supersymmetric BPS domain wall model is suggested which can provide this phase transition and formation the stable charged (dual) superconducting core.

hep-th↗

arXiv2000

Rotating Super Black Hole as Spinning Particle

We give a review of the works devoted to the treatment of the Kerr super black hole solution as a spinning particle. The real, complex and stringy structures of the Kerr and super-Kerr geometries are discussed, as well as the recent results on the regular matter source for the Kerr spinning particle. It is shown that the source has to represent a rotating bag-like bubble having (A)dS interior and a smooth domain wall boundary. The given by Morris supersymmetric generalization of the U(I) x U'(I) field model (which was used by Witten to describe cosmic superconducting strings) is considered, and it is shown that this model can be adapted for description of superconducting bags having a long range external electromagnetic field and another gauge field confined inside the bag.

hep-th↗

arXiv2000

Supersymmetric Superconducting Bag as a Core of Kerr Spinning Particle

The problem of a regular matter source for the Kerr spinning particle is discussed. A class of minimal deformations of the Kerr-Newman solution is considered obeying the conditions of regularity and smoothness for the metric and its matter source. It is shown that for charged source corresponding matter forms a rotating bag-like core having (A)dS interior and smooth domain wall boundary. Similarly, the requirement of regularity of the Kerr-Newman electromagnetic field leads to superconducting properties of the core. We further consider the U(I) x U'(I) field model (which was used by Witten to describe cosmic superconducting strings), and we show that it can be adapted for description of superconducting bags having a long range external electromagnetic field and another gauge field confined inside the bag. Supersymmetric version of the Witten field model given by Morris is analyzed, and corresponding BPS domain wall solution interpolating between the outer and internal supersymmetric vacua is considered. The charged bag bounded by this BPS domain wall represents an `ultra-extreme' state with a total mass which is lower than BPS bound of the wall. It is also shown that supergravity suggests the AdS vacuum state inside the bag. Peculiarities of this model for the rotating bag-like source of the Kerr-Newman geometry are discussed.

hep-th↗

arXiv2000

Twisting Lightlike Solutions of the Kerr-Schild Class

Using a complex representation of the Debney-Kerr-Schild (DKS) solutions and the Kerr theorem we give a method to construct boosted Kerr geometries. In the ultrarelativistic case this method yelds twisting solutions having, contrary to the known pp-wave limiting solutions, a non-zero value of the total angular momentum. The solutions show that twist plays a crucial role in removing singularity and smoothing shock wave in the ultrarelativistic limit. Two different physical situations are discussed.

gr-qc↗

arXiv1999

Dilatonic AdS-Kerr Solution to AdS/CFT Correspondence

We consider the $AdS_5$ solution deformed by a non-constant dilaton interpolating between the standard AdS (UV region) and flat boundary background (IR region). We show that this dilatonic solution can be generalized to the case of a non-flat boundaries provided that the metric of the boundaries satisfies the vacuum Einstein field equations. As an example, we describe the case when the four-dimensional boundaries represent the Kerr space-time.

hep-th↗

arXiv1999

Structure of Spinning Particle Suggested by Gravity, Supergravity and Low Energy String Theory

The structure of spinning particle suggested by the rotating Kerr-Newman (black hole) solution, super-Kerr-Newman solution and the Kerr-Sen solution to low energy string theory is considered. Main peculiarities of the Kerr spinning particle are discussed: a vortex of twisting principal null congruence, singular ring and the Kerr source representing a rotating relativistic disk of the Compton size. A few stringy structures can be found in the real and complex Kerr geometry. Low-energy string theory predicts the existence of a heterotic string placed on the sharp boundary of this disk. The obtained recently supergeneralization of the Kerr-Newman solution suggests the existence of extra axial singular line and fermionic traveling waves concentrating near these singularities. We discuss briefly a possibility of experimental test of these predictions.

hep-th↗

arXiv1999

Kerr-Schild Approach to the Boosted Kerr Solution

Using a complex representation of the Debney-Kerr-Schild (DKS) solutions and the Kerr theorem we analyze the boosted Kerr geometries and give the exact and explicit expressions for the metrics, the principal null congruences, the coordinate systems and the location of the singularities for arbitrary value and orientation of the boost with respect to the angular momentum. In the limiting, ultrarelativistic case we obtain light-like solutions possessing diverging and twisting principal null congruences and having, contrary to the known pp-wave limiting solutions, a non-zero value of the total angular momentum. The implications of the above results in various related fields are discussed.

gr-qc↗

arXiv1998

Spinning Particle as a Super Black Hole

A natural combined model of the Kerr spinning particle and superparticle is obtained leading to a non-trivial super black hole solution. By analogue with complex structure of the Kerr solution we perform a supershift on the Kerr geometry, and then select a "body"-submanifold of superspace that yields a non-trivial supergeneralization of the Kerr metric with a nonlinear realization of (2,0)-supersymmetry. For the known parameters of spinning particles this "black hole" is to be in a specific state without horizons and very far from extreme. The naked Kerr singular ring has to be hidden inside a rotating superconducting disk, built of a supermultiplet of matter fields. Stringy wave excitations of the Kerr singular ring (traveling waves) yield an extra axial singular line modulated by de Broglie periodicity.

hep-th↗

arXiv1998

Kerr Spinning Particle, Strings, and Superparticle Models

A combined model of the Kerr spinning particle and superparticle is considered. The structure of the Kerr geometry is presented in a complex form as being created by a complex source. A natural supergeneralization of this construction is obtained corresponding to a complex "supersource". Peforming a supershift to the Kerr and Kerr-Sen solutions we obtain metrics of supergravity black holes with a nonlinear realization of broken supersymmetry.

hep-th↗

arXiv1998

Behaviour of Singularities of the Kerr-Newman and the Kerr-Sen Solutions by Arbitrary Boost

Behaviour of singularities of the rotating black holes under an arbitrary boost is considered on the basis of a complex representation of the Kerr theorem. We give a simple algorithm allowing to get explicit expressions for the metric and the position of the singularities for arbitrary direction and magnitude of the boost, including the ultrarelativistic case. The non-smoothness of the ultrarelativistic limit is discussed. The Kerr-Sen BH-solution to low energy string theory is also analyzed.

hep-th↗

arXiv1995

SOME PROPERTIES OF THE KERR SOLUTION TO LOW ENERGY STRING THEORY

The Kerr solution to axidilaton gravity is analyzed in the Debney--Kerr--Schild formalism. It is shown that the Kerr principal null congruence retains its property to be geodesic and shear free, however, the axidilatonic Kerr solution is not algebraically special. A limiting form of this solution is considered near the ring-like Kerr singularity. This limiting solution coincides with the field around a fundamental heterotic string obtained by Sen.

hep-th↗

arXiv1995

COMPLEX STRING AS SOURCE OF KERR GEOMETRY

The Kerr solution is considered as a soliton-like background for spinning elementary particles. Two stringy structures may be found in the Kerr geometry, one string is real and another one is complex. The main attention in this paper is paid to the complex string, which is connected with the Lind-Newman representation of the Kerr metric source as an object with a complex world-line. In a separate note, one new result is announced concerning the real string: in the dilaton-axion gravity the Kerr singular ring may be considered as a heterotic string, the field near the Kerr singularity coincides with the solution obtained by Sen for heterotic string.

hep-th↗