Geometrical mass in the Reissner-Nordström solution

We investigate the general relativistic magnetohydrodynamic (GRMHD) equations for cold plasma around the Reissner-Nordström black hole. Applying 3+1 spacetime split we linearize the perturbed equations for non-magnetized/magnetized plasma in both rotating and non-rotating background. By Fourier analyze we then derive dispersion relations and investigate the existence of waves with positive angular frequency in the vicinity of the black hole horizon. The analysis finds propagation of negative phase and group velocities for rotating magnetized surroundings.

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“…The mass parameter M of the RN solution is inseparably connected with the charge parameter Q [42]. This means that M = 0 only when Q = 0.…”

Section: +1 Formulation Of Grmhd Equations Around Rn Black Holesmentioning

confidence: 93%

Dispersion Relations for Cold Plasmas Around Reissner-Nordström Black Holes

Ali

Hasan

2009

Int J Theor Phys

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“…Therefore we expect there to be a scalar mass or scalar charge which is proportional to the energy in the scalar field. Yet for the Schwarzschild limit of our baseline neutral solution (17), the scalar field energy vanishes.…”

Section: Baseline Electrically-neutral Solution (Davidson and Owen)mentioning

confidence: 94%

“…The R-N solution (4) allows a solution with = M 0, corresponding to a massless electric charge. However, the energy in the electric field will look like an effective mass at infinity [13][14][15][16][17]. Indeed, the electric field acts to stabilize the energy of a point particle [15].…”

mentioning

confidence: 99%

New physical parameterizations of monopole solutions in five-dimensional general relativity and the role of negative scalar field energy in vacuum solutions

et al. 2021

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Novel parameterizations are presented for monopole solutions to the static, spherically-symmetric vacuum field equations of five-dimensional general relativity. First proposed by Kaluza, 5D general relativity unites gravity and classical electromagnetism with a scalar field. These monopoles correspond to bodies carrying mass, electric charge, and scalar charge. The new parameterizations provide physical insight into the nature of electric charge and scalar field energy. The Reissner-Nordstr\"om limit is compared with alternate physical interpretations of the solution parameters. The new parameterizations explore the role of scalar field energy and the relation of electric charge to scalar charge. The Kaluza vacuum equations imply the scalar field energy density is the negative of the electric field energy density for all known solutions, so the total electric and scalar field energy of the monopole is zero. The vanishing of the total electric and scalar field energy density for vacuum solutions seems to imply the scalar field can be understood as a negative-energy foundation on which the electric field is built.

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“…The mass parameter M of the RN solution is inseparably connected with the charge parameter Q (Som et al 1977). This means that M = 0 only when Q = 0.…”

Section: + 1 Spacetime Split Of Grmhd Equations Around Rn Black Holementioning

confidence: 96%

An analysis of wave properties of isothermal plasma around Reissner-Nordström black hole

Hasan

Ali

2009

Astrophys Space Sci

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The 3 + 1 spacetime split is used in a preliminary investigation of waves propagating in a medium of isothermal plasma in the vicinity of event horizon of ReissnerNordström planar analogue. The general relativistic magnetohydrodynamic equations for isothermal have been investigated there. The dispersion relations are obtained by using linear perturbation and Fourier analyze techniques for nonrotating and rotating, non-magnetized and magnetized environment. The wave number, phase velocity, group velocity etc. are shown to discuss the nature of the waves.

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Geometrical mass in the Reissner-Nordström solution

Cited by 8 publications

References 6 publications

Dispersion Relations for Cold Plasmas Around Reissner-Nordström Black Holes

Dispersion Relations for Cold Plasmas Around Reissner-Nordström Black Holes

New physical parameterizations of monopole solutions in five-dimensional general relativity and the role of negative scalar field energy in vacuum solutions

An analysis of wave properties of isothermal plasma around Reissner-Nordström black hole

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