Models of Static, Cylindrically Symmetric Solutions of the Einstein-Maxwell Field

Safko, John L.; Witten, Louis

doi:10.1103/physrevd.5.293

Cited by 26 publications

(25 citation statements)

References 7 publications

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“…II, we present the Rainich conditions in general relativity 15 and discuss briefly some solutions obtained by Safko and Witten. 16,17 In Sec. III, we obtain the cylindrically symmetric scalar-tensor Einstein-Maxwell solutions assuming that the Rainich conditions, with appropriate modification to include the scalar field, can be used in the framework of scalar-tensor theories of gravity.…”

Section: On a Class Of Solutions Of The Einstein-maxwell Field Equatimentioning

confidence: 99%

On a class of solutions of the Einstein–Maxwell field equations in scalar-tensor theories of gravity

Sobreira

Marques

Fonseca‐Neto

et al. 2009

Journal of Mathematical Physics

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In this paper we obtain a class of static cylindrically symmetric solutions of the Einstein-Maxwell field equations in the framework of scalar-tensor theories of gravity. In this context, in which both a Maxwell field and a dilaton field are sources of the stress energy, the solutions were obtained by using the Rainich conditions of general relativity, appropriately modified to take into account the presence of the scalar field.

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Section: On a Class Of Solutions Of The Einstein-maxwell Field Equatimentioning

confidence: 99%

On a class of solutions of the Einstein–Maxwell field equations in scalar-tensor theories of gravity

Sobreira

Marques

Fonseca‐Neto

et al. 2009

Journal of Mathematical Physics

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“…The gravitational field due to a tubular matter source with an axial interior magnetic field and vanishing exterior magnetic field [15], which we are calling (Safko-Witten spacetime) is introduced in this subsection. This space-time corresponds to a solution of the combined Einstein-Maxwell field with cylindrical symmetry.…”

Section: Safko-witten Space-timementioning

confidence: 99%

“…The geometry of the section t = constant and z = constant is a cone. The line element corresponding to this case is [15] …”

Section: Safko-witten Space-timementioning

confidence: 99%

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On some classical and quantum effects due to gravitational fields

Bezerra¹

2006

Braz. J. Phys.

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We consider the gravitational fields generated by a cosmic string, a global monopole and a tubular matter with interior magnetic field (Safko-Witten space-time), and examine some classical and quantum effects due to these fields. We investigate the Aharonov-Bohm effect in the space-time of a cosmic string, using the loop variables. In the space-time of a global monopole, we calculate the total energy radiated by a uniformly moving charged scalar particle, for small solid angle deficit. We show that the radiated energy is proportional to the cube of the velocity of the particle and to the cube of the Lorenz factor, in the non-relativistic and ultra-relativistic cases, respectively. In the Safko-Witten space-time, we investigate the existence of an electrostatic self-force on a charged particle. We also consider a hydrogen atom in the background space-time generated by a cosmic string and we find the solutions of the corresponding Dirac equation and we determine the energy levels of the atom. We investigate how the topological features of this space-time lead to shifts in the energy levels as compared with the flat Minkowski space-time. We study the behavior of non-relativistic quantum particles interacting with a Kratzer potential in the space-time generated by a global monopole and we find the energy spectrum in the presence of this topological defect. In the Safko-Witten space-time, an investigation is also made concerning the interaction of an harmonic oscillator with this background gravitational field.

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“…The exterior spacetime corresponding to this configuration of fields is conical w i t h deficit angle 2x(le-B), where fl is a quantity related to the interior magnetic field and the mass of the tube. The line element corresponding to this case is [4] ds2 = eZB(dt2 -dp2) -p2dpz -dz2…”

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confidence: 99%