Physical interpretation of the NUT family of solutions

Manko, V. S.; Ruiz, E.

doi:10.1088/0264-9381/22/17/014

Cited by 86 publications

(125 citation statements)

References 10 publications

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“…Then (6) is not a globally allowed transformation and, for any choice of C, we have a true singularity on at least one halfaxis. Bonnor interpreted this singularity as a massless spinning rod.…”

Section: Nut Space-timementioning

confidence: 95%

Circular motion in NUT space-time

Jefremov

Perlick

2016

Class. Quantum Grav.

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Abstract. We consider circular motion in the NUT (Newman-Unti-Tamburino) space-time. Among other things, we determine the location of circular time-like geodesic orbits, in particular of the innermost stable circular orbit (ISCO) and of the marginally bound circular orbit. Moreover, we discuss the von Zeipel cylinders with respect to the stationary observers and with respect to the Zero Angular Momentum Observers (ZAMOs). We also investigate the relation of von Zeipel cylinders to inertial forces, in particular in the ultra-relativistic limit. Finally, we generalise the construction of thick accretion tori ("Polish doughnuts") which are well known on the Schwarzschild or Kerr background to the case of the NUT metric. We argue that, in principle, a NUT source could be distinguished from a Schwarzschild or Kerr source by observing the features of circular matter flows in its neighbourhood.

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Section: Nut Space-timementioning

confidence: 95%

Circular motion in NUT space-time

Jefremov

Perlick

2016

Class. Quantum Grav.

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“…It is interesting that by further setting k = m, a = ν, one arrives at the single NUT solution [25] with the total mass 2m and the NUT parameter 2ν which, as was demonstrated by Manko and Ruiz [19], shares the property of being equatorially antisymmetric. Solution I reduces to the Bretón-Manko electrovac solution [26] for two counter-rotating KerrNewman masses when the NUT parameter ν and the magnetic charge b are equal to zero.…”

Section: The Multipole Moments Basic Limits Stationary Limit Surfacmentioning

confidence: 85%

On the properties of the Ernst–Manko–Ruiz equatorially antisymmetric solutions

Sod–Hoffs

Rodchenko

2007

Class. Quantum Grav.

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Abstract. Two new equatorially antisymmetric solutions recently published by Ernst et al are studied. For both solutions the full set of metric functions is derived in explicit analytic form and the behavior of the solutions on the symmetry axis is analyzed. It is shown in particular that two counter-rotating equal Kerr-Newman-NUT objects will be in equilibrium when the condition m 2 + ν 2 = q 2 + b 2 is verified, whereas two counter-rotating equal masses endowed with arbitrary magnetic and electric dipole moments cannot reach equilibrium under any choice of the parameters, so that a massless strut between them will always be present.

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“…The general stationary axially symmetric solution [6,9] to the vacuum Einstein equations in the standard Weyl-Papapetrou cylindrical coordinates {t, ρ, ϕ, z} is given by…”

Section: Particles Motion In a Space Of Nonrotatingmentioning

confidence: 99%

“…Here we extend them to the space time of cylindrical NUT source obtained in [9] as exact solution of Einstein equations without making any assumption on the strength of gravitational field. We are interested to study the motion of test particles and electro-magnetic fields in NUT space with the aim to get tools for studying new important general relativistic effects which are associated with nondiagonal components of the metric tensor and have no Newtonian analogues due to their origin.…”

Section: Introductionmentioning

confidence: 99%

On properties of vacuum axially symmetric spacetime of gravitomagnetic monopole in cylindrical coordinates

Kagramanova¹,

Ahmedov²

2006

Gen Relativ Gravit

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We investigate general relativistic effects associated with the gravitomagnetic monopole moment of gravitational source through the analysis of the motion of test particles and electromagnetic fields distribution in the spacetime around nonrotating cylindrical NUT source. We consider the circular motion of test particles in NUT spacetime, their characteristics and the dependence of effective potential on the radial coordinate for the different values of NUT parameter and orbital momentum of test particles. It is shown that the bounds of stability for circular orbits are displaced toward the event horizon with the growth of monopole moment of the NUT object. In addition, we obtain exact analytical solutions of Maxwell equations for magnetized and charged cylindrical NUT stars.

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Physical interpretation of the NUT family of solutions

Cited by 86 publications

References 10 publications

Circular motion in NUT space-time

Circular motion in NUT space-time

On the properties of the Ernst–Manko–Ruiz equatorially antisymmetric solutions

On properties of vacuum axially symmetric spacetime of gravitomagnetic monopole in cylindrical coordinates

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