The Poynting vector of stationary axisationary electrovac spacetimes reexamined

Manko, V. S.; Rodchenko, E. D.; Садовников, Б. И.; Sod–Hoffs, J

doi:10.1088/0264-9381/23/17/016

Cited by 6 publications

(4 citation statements)

References 11 publications

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“…The solution to the Einstein equations presented in this work is a static metric. This looks like to be in contradiction to previous results that state that in the spacetime associated to a static magnetic dipole in the presence of electric charges appears a frame-dragging effect [36,37], i.e. we have a stationary metric.…”

Section: Discussioncontrasting

confidence: 99%

Static charged fluid around a massive magnetic dipole

2008

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An analytical solution of Einstein-Maxwell equations with a static fluid as a source is presented. The spacetime is represented by the axially symmetric Weyl metric and the energy-momentum tensor describes a coupling of a fluid with an electromagnetic field. When appropriate limits are performed we recover the well-known solutions of Gutsunaev-Manko and Schwarzschild. Also, using Eckart's thermodynamics, we calculated the temperature, the mechanical pressure, the charge density and the energy density of the system. The analysis of thermodynamic quantities suggests that the solution can be used to represent a magnetized compact stellar object surrounded by a charged fluid.

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Section: Discussioncontrasting

confidence: 99%

Static charged fluid around a massive magnetic dipole

2008

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“…Because of the axially symmetric character of the spacetime, only the component along the unitary vectorê φ survives [6]. In terms of the Ernst potentials [63] or more conveniently…”

Section: Vorticity Scalar and Poynting Vectormentioning

confidence: 99%

“…Surprisingly, if the astrophysical object does not rotate but possesses both electric and magnetic fields, the spacetime vorticity does not vanish [4][5][6]. In this case, frame dragging is of purely electromagnetic nature and it is associated with the existence of a nonvanishing electromagnetic Poynting vector around the source [5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

Electromagnetically induced frame dragging around astrophysical objects

Gutiérrez-Ruiz

Pachón

2015

Phys. Rev. D

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Frame dragging (Lense-Thirring effect) is generally associated with rotating astrophysical objects. However, it can also be generated by electromagnetic fields if electric and magnetic fields are simultaneously present. In most models of astrophysical objects, macroscopic charge neutrality is assumed and the entire electromagnetic field is characterized in terms of a magnetic dipole component. Hence, the purely electromagnetic contribution to the frame dragging vanishes. However, strange stars may possess independent electric dipole and neutron stars independent electric quadrupole moments that may lead to the presence of purely electromagnetic contributions to the frame dragging. Moreover, recent observations have shown that in stars with strong electromagnetic fields, the magnetic quadrupole may have a significant contribution to the dynamics of stellar processes. As an attempt to characterize and quantify the effect of electromagnetic frame-dragging in these kind of astrophysical objects, an analytic solution to the Einstein-Maxwell equations is constructed here on the basis that the electromagnetic field is generated by the combination of arbitrary magnetic and electric dipoles plus arbitrary magnetic and electric quadrupole moments. The effect of each multipole contribution on the vorticity scalar and the Poynting vector is described in detail. Corrections on important quantities such the innermost stable circular orbit (ISCO) and the epicyclic frequencies are also considered.

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“…The absence of any stationary energy flows created by the electric and magnetic charges in the binary dyonic configuration (2) can be easily established by analyzing the associated Poynting vector. In [11] it was demonstrated that the Poynting vector of a stationary axisymmetric electrovac spacetime can have only one non-zero component, and in [12] this ϕ-component was shown to be defined by the following simple formula:…”

Section: The Dyonic Emparan-teo Diholementioning

confidence: 99%