The gyromagnetic factor in electrodynamics, quantum theory and general relativity

Pfister, Herbert; King, Markus

doi:10.1088/0264-9381/20/1/315

“…(8.23)). Indeed, the gyromagnetic ratio of sources producing conformastationary metrics is equal to 2, like it is for charged, rotating (Kerr-Newman) black holes and as it is expected to be equal approximately for other highly relativistic objects (see [30], [31] for recent studies of this problem).…”

Section: Conformastationary Metricsmentioning

confidence: 99%

On the uniqueness of harmonic coordinates

Bičák

¹

,

Katz

²

2005

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Harmonic coordinate conditions in stationary asymptotically flat spacetimes with matter sources have more than one solution. The solutions depend on the degree of smoothness of the metric and its first derivatives, which we wish to impose across the material boundary, and on the conditions at infinity and at a suitable point inside the matter. This is illustrated in detail by simple fully solvable examples of static spherically symmetric spacetimes in global harmonic coordinates. Examples of stationary electrovacuum spacetimes described simply in harmonic coordinates are also given. They can represent the exterior fields of material discs.The use of an appropriate background metric considerably simplifies the calculations.

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“…Driven by the fact that the electrically charged Kerr solution, the KerrNewman solution, has a g-factor of 2, exactly like the electron (see also Pfister & King [153]), Burinskii [24,25] speculated that a soliton like solution of the Dirac equation may be the source of the Kerr metric, see also Burinskii & Kerr [26]. Is that the "bright new idea" Krasiński was talking about?…”

Section: On Interior Solutions With Materials Sourcesmentioning

confidence: 99%

Schwarzschild and Kerr solutions of Einstein’s field equation: An Introduction

Heinicke

¹

,

Hehl

²

2017

One Hundred Years of General Relativity

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Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(-Droste) solution, and into one specific stationary axially symmetric solution, the Kerr solution. The Schwarzschild solution is unique and its metric can be interpreted as the exterior gravitational field of a spherically symmetric mass. The Kerr solution is only unique if the multipole moments of its mass and its angular momentum take on prescribed values. Its metric can be interpreted as the exterior gravitational field of a suitably rotating mass distribution. Both solutions describe objects exhibiting an event horizon, a frontier of no return. The corresponding notion of a black hole is explained to some extent. Eventually, we present some generalizations of the Kerr solution.

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“…Eq. (152) together with its thermodynamical interpretation (153) can be considerably generalized thereby establishing the new discipline of "black hole thermodynamics", see Heusler [85] and Carlip. [28] 3.6 Beyond the horizons…”

Section: Penrose Process and Black Hole Thermodynamicsmentioning

confidence: 99%

Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction

Heinicke

¹

,

Hehl

²

2015

Int. J. Mod. Phys. D

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Starting from Newton's gravitational theory, we give a general introduction into the spherically symmetric solution of Einstein's vacuum field equation, the Schwarzschild(-Droste) solution, and into one specific stationary axially symmetric solution, the Kerr solution. The Schwarzschild solution is unique and its metric can be interpreted as the exterior gravitational field of a spherically symmetric mass. The Kerr solution is only unique if the multipole moments of its mass and its angular momentum take on prescribed values. Its metric can be interpreted as the exterior gravitational field of a suitably rotating mass distribution. Both solutions describe objects exhibiting an event horizon, a frontier of no return. The corresponding notion of a black hole is explained to some extent. Eventually, we present some generalizations of the Kerr solution.

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The gyromagnetic factor in electrodynamics, quantum theory and general relativity

Cited by 24 publications

References 47 publications

On the uniqueness of harmonic coordinates

On the uniqueness of harmonic coordinates

Schwarzschild and Kerr solutions of Einstein’s field equation: An Introduction

Schwarzschild and Kerr solutions of Einstein's field equation: An Introduction

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