Maxwell fields in boosted Kerr black holes

Aranha, R. F.; Cedeño, M., Carlos E.; Maier, Rodrigo; Soares, I. Damião

doi:10.1103/physrevd.103.064060

Cited by 4 publications

(11 citation statements)

References 21 publications

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“…It 1 This same component appears in ref. [8] with a typo which must be corrected in order to obtain previous numerical results. is worth mentioning that the intensity of the magnetic field for this configuration has an analogous form to the accretion disk and emission jet measured recently and reported in [22].…”

Section: Basic Electrodynamics From Spacetime Isometrymentioning

confidence: 99%

“…In this article, we continued to develop a study on electromagnetic fields in the presence of a boosted Kerr black hole, generalizing the axial case used in [8]. Following the FIG.…”

Section: Final Remarksmentioning

confidence: 99%

“…Within this context, we will follow the analysis of a system composed of a boosted black hole and the behavior of magnetic fields around them. In [8], we studied the magnetic field generated by the isometries of a boosted rotating black hole given a specific direction in space, where the boost direction coincided with the black hole rotation axis. In this paper, we extend our analysis considering a boost in an arbitrary direction, thus losing the axial symmetry as seen in the previous work.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

General Boosted Kerr Black Holes and Papapetrou Electrodynamics

Aranha¹,

Cedeño²,

Maier³

et al. 2022

Preprint

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Section: Basic Electrodynamics From Spacetime Isometrymentioning

confidence: 99%

“…In this article, we continued to develop a study on electromagnetic fields in the presence of a boosted Kerr black hole, generalizing the axial case used in [8]. Following the FIG.…”

Section: Final Remarksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

General Boosted Kerr Black Holes and Papapetrou Electrodynamics

Aranha¹,

Cedeño²,

Maier³

et al. 2022

Preprint

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“…In the case of a vanishing rotation, the physical electromagnetic field of a Reissner-Nordström black hole is the same as the Papapetrou field generated from a timelike Killing vector of a Schwarzschild spacetime, as one should expect. Following a similar approach one should expect that the Papapetrou fields generated by boosted rotating black holes [10] could lead to boosted Kerr-Newman solutions. Overall, the fact that such Papapetrou fields find physical counterparts -such as external electromagnetic fields generated from charged black holes -assigns a physical meaning to such fields thus justifying its study.…”

Section: Introductionmentioning

confidence: 98%

“…In [9] on the other hand, rotating black holes moving at constant velocity in an asymptotically uniform magnetic test field were considered and electromagnetic energy losses-from charged particles accelerated along the magnetic field lines-were evaluated. A more detailed analysis of such configurations can be found in [10] where the electromagnetic fields are based on the well known Papapetrou-Wald solution [11]. In fact, it has been shown that test Papapetrou fields [11] are fine candidates to model an external uniform magnetic field aligned with the Kerr black hole rotation axis originating a so-called inner engine responsible for the emission of gamma-ray bursts [12].…”

Section: Introductionmentioning

confidence: 99%

Particle dynamics on test papapetrou fields of vacuum spacetimes

Maier

2024

Phys. Scr.

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In this paper we examine the dynamics of test particles subjected to Papapetrou fields which emerge from vacuum spacetimes isometries.Assuming that the background geometry is described by a Kerr metric whose timelike Killing vector satisfies Maxwell equations, we evaluate the electromagnetic fields -- Papapetrou fields -- byfixing a locally non-rotating (LNR) frame of reference. We also evaluate such the electromagnetic fields for a vanishing rotation parameter assuming a timelike frame of referencefor a Schwarzschild background.In order to probe for the effect of the test Papapetrou fields we study the motion of charged particles in a Kerr background.Restricting ourselves to orbits in the equatorial plane with LNR initial conditions we show that there is an explicit deviation between orbits of neutral and charged particles in the case of repulsive electromagnetic configurations. For critical charge-mass ratios $\zeta_*$ test particles can be found in the Kerr retrograde photon sphere.For static configurations we show that massive/charged test particles may populate the unstable Schwarzschild photon sphere for given domain of the parameter space.

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Boosted Kerr–Newman black holes

Aranha,

Maier

2024

Class. Quantum Grav.

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In this paper we obtain a new solution of Einstein field equations which describes a boosted Kerr-Newman black hole relative to a Lorentz frame at future null infinity. To simplify our analysis we consider a particular configuration in which the boost is aligned with the black hole angular momentum.The boosted Kerr-Newman black hole is obtained considering the complete asymptotic Lorentz transformations of Robinson-Trautman coordinates to Bondi-Sachs, including the perturbation term of the boosted Robinson-Trautman metric.To verify that the final form of the metric is indeed a solution of Einstein fieldequations, we evaluate the corresponding energy-momentum tensor the boosted Kerr-Newman solution.To this end, we consider the electromagnetic energy-momentum tensorbuilt with the Kerr boosted metric together with its timelikekilling vector. We show that the Papapetrou field thus obtained engenderan energy-momentum tensor which satisfies Einstein field equations up to 4th orderfor the Kerr-Newman metric. To proceed, we examine the causal structure of the boosted Kerr-Newman black hole in Bondi-Sachs coordinates as in a preferred timelike foliation. We show that theultimate effect of a nonvanishing charge is to shrink the overall size of the event horizon and ergosphere areas when compared to the neutral boosted Kerr black holes. Considering the preferred timelike foliation we obtain the electromagnetic fields for a proper nonrotating frame of reference. We show that while the electric field displays a pure radialbehaviour, the magnetic counterpart develops an involved structure with two intense lobes of the magnetic field observed in the direction opposite to the boost.

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Maxwell fields in boosted Kerr black holes

Cited by 4 publications

References 21 publications

General Boosted Kerr Black Holes and Papapetrou Electrodynamics

General Boosted Kerr Black Holes and Papapetrou Electrodynamics

Particle dynamics on test papapetrou fields of vacuum spacetimes

Boosted Kerr–Newman black holes

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