Gravitational Interaction of Cosmic String with Spinless Particle

We consider the gravitational interaction of spinless relativistic particle and infinitely thin cosmic string within the classical linearized-theory framework. We compute the particle’s motion in the transverse (to the unperturbed string) plane. The reciprocal action of the particle on the cosmic string is also investigated. We derive the retarded solution which includes the longitudinal (with respect to the unperturbed-particle motion) and totally-transverse string perturbations.

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SOLUTION OF THE DIRAC EQUATION WITH POSITION-DEPENDENT MASS IN A COULOMB AND SCALAR FIELDS IN A CONICAL SPACETIME

Modern Physics Letters A ◽

10.1142/s021773231350137x ◽

2013 ◽

Vol 28 (31) ◽

pp. 1350137 ◽

Cited By ~ 13

Author(s):

GEUSA DE A. MARQUES ◽

V. B. BEZERRA ◽

SHI-HAI DONG

Keyword(s):

Dirac Equation ◽

Cosmic String ◽

Relativistic Particle ◽

Energy Levels ◽

Scalar Potential ◽

Scalar Fields ◽

The Self ◽

Dependent Mass ◽

Scalar Potentials ◽

Position Dependent Mass

We consider the problem of a relativistic particle with position-dependent mass in the presence of a Coulomb and a scalar potentials in the background spacetime generated by a cosmic string. The scalar potential arises from the self-interaction potential which is induced by the conical geometry of the spacetime under consideration. We find the solution of the corresponding Dirac equation and determine the energy spectrum of the particle. The behavior of the energy levels on the parameters associated with the presence of the cosmic string and with the fact that the mass of the particle depends on its position is also analyzed.

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Klein–Gordon oscillator with position-dependent mass in the rotating cosmic string spacetime

Modern Physics Letters A ◽

10.1142/s0217732318500256 ◽

2018 ◽

Vol 33 (04) ◽

pp. 1850025 ◽

Cited By ~ 16

Author(s):

Bing-Qian Wang ◽

Zheng-Wen Long ◽

Chao-Yun Long ◽

Shu-Rui Wu

Keyword(s):

Magnetic Field ◽

Cosmic String ◽

Energy Levels ◽

Homogeneous Magnetic Field ◽

Spinless Particle ◽

Klein Gordon ◽

Coulomb Type ◽

Dependent Mass ◽

String Background ◽

Position Dependent Mass

A spinless particle coupled covariantly to a uniform magnetic field parallel to the string in the background of the rotating cosmic string is studied. The energy levels of the electrically charged particle subject to the Klein–Gordon oscillator are analyzed. Afterwards, we consider the case of the position-dependent mass and show how these energy levels depend on the parameters in the problem. Remarkably, it shows that for the special case, the Klein–Gordon oscillator coupled covariantly to a homogeneous magnetic field with the position-dependent mass in the rotating cosmic string background has the similar behaviors to the Klein–Gordon equation with a Coulomb-type configuration in a rotating cosmic string background in the presence of an external magnetic field.

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GRAVITATIONAL CAPTURE OF COSMIC STRINGS BY A BLACK HOLE

International Journal of Modern Physics D ◽

10.1142/s0218271898000632 ◽

1998 ◽

Vol 07 (06) ◽

pp. 957-967 ◽

Cited By ~ 14

Author(s):

JEAN-PIERRE DE VILLIERS ◽

VALERI FROLOV

Keyword(s):

Black Hole ◽

Impact Parameter ◽

Cosmic String ◽

Initial Velocity ◽

Cosmic Strings ◽

Gravitational Interaction ◽

Equations Of Motion ◽

Great Distance ◽

Schwarzschild Black Hole ◽

Gravitational Capture

The gravitational interaction of an infinitely long cosmic string with a Schwarzschild black hole is studied. We consider a straight string that is initially at a great distance and moving at some initial velocity v (0 < v < c) towards the black hole. The equations of motion of the string are solved numerically to obtain the dependence of the capture impact parameter on the initial velocity.

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Relativistic Particle Motion in Nonuniform Electromagnetic Waves

Physical Review Letters ◽

10.1103/physrevlett.31.1380 ◽

1973 ◽

Vol 31 (23) ◽

pp. 1380-1383 ◽

Cited By ~ 18

Author(s):

G. Schmidt ◽

T. Wilcox

Keyword(s):

Particle Motion ◽

Electromagnetic Waves ◽

Relativistic Particle

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STRING'S CURRENT INDUCED BY THE DILATONIC COUPLING OF GRAVITY

International Journal of Modern Physics A ◽

10.1142/s0217751x02011904 ◽

2002 ◽

Vol 17 (20) ◽

pp. 2763-2763

Author(s):

MARIA E. X. GUIMARÃES

Keyword(s):

Phase Transition ◽

Scalar Field ◽

Cosmic String ◽

Gravitational Interaction ◽

Dilaton Field

The nature of an ordinary cosmic string1 in the framework of a scalar-tensor extension of gravity is investigated. It is shown that in this case, the dilaton field can act as a timelike or a spacelike current traveling along the string, and localized into it2. Apart from the fact that the current can not be formed after the string forming phase transition but exactly at the same time, since the dilaton is not an ordinary scalar field but a component of the gravitational interaction configuration would resemble very much the usual superconducting strings first proposed by Witten3. This means that a network of strings here produced would suffer from the vorton excess problem4, leading to an actual cosmological catastrophe from which one can derive strong constraints on the relevant theories.

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The study of a spinless relativistic particle in the spinning cosmic string space–time

Canadian Journal of Physics ◽

10.1139/cjp-2015-0144 ◽

2017 ◽

Vol 95 (4) ◽

pp. 331-335 ◽

Cited By ~ 8

Author(s):

Zhi Wang ◽

Zheng-wen Long ◽

Chao-yun Long ◽

Bing-qian Wang

Keyword(s):

Cosmic String ◽

Gordon Equation ◽

Relativistic Particle ◽

Energy Levels ◽

Space Time ◽

Rotational Parameter ◽

Cylindrically Symmetric ◽

Background Space ◽

Klein Gordon ◽

Klein Gordon Equation

In this paper we analyze a spinless relativistic particle depicted by the Klein–Gordon equation in the spinning cosmic string space–time. The solutions of the Klein–Gordon equation in the presence of a uniform magnetic field and the Klein–Gordon equation with two common cylindrically symmetric scalar potentials under the background space–time are presented; the energy spectrum and the corresponding wave functions of these systems are obtained by using the functional analysis method. It is shown that the energy levels of the considered physical systems depend explicitly on the angular deficit α and the rotational parameter a, which characterize the global structure of the metric in the space–time of the spinning cosmic string.

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