Conformastatic disk-haloes in Einstein-Maxwell gravity

Gutiérrez-Piñeres, Antonio C.; González, Guillermo; Quevedo, Hernando

doi:10.1103/physrevd.87.044010

Cited by 30 publications

(59 citation statements)

References 53 publications

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“…Many of the known thin disk solutions can be obtained by using the so-called "displace, cut and reflect" (DCR) method, initially due to Kuzmin [17], which, in fact, has Newtonian origin and will be briefly presented in the next section. Matter disks and other self-gravitating structures in the presence of magnetic fields are particularly relevant due to the abundance of possible astrophysical applications, and there are indeed some previous examples of these solutions in the literature [18][19][20][21].…”

Section: Introductionmentioning

confidence: 99%

Stability aspects of relativistic thin magnetized disks

Freitas

Saa

2017

Phys. Rev. D

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We adapt the well known "displace, cut and reflect" method to construct exact solutions of the Einstein-Maxwell equations corresponding to infinitesimally thin disks of matter endowed with dipole magnetic fields, which are entirely supported by surface polar currents on the disk. Our starting point is the Gutsunaev-Manko axisymmetric solution describing massive magnetic dipoles in General Relativity, from which we obtain a continuous three-parameter family of asymptotically flat static magnetized disks with finite mass and energy. For strong magnetic fields, the disk surface density profile resembles some well known self-gravitating ring-like structures. We show that many of these solutions can be indeed stable and, hence, they could be in principle useful for the study of the abundant astrophysical situations involving disks of matter and magnetic fields.

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Section: Introductionmentioning

confidence: 99%

Stability aspects of relativistic thin magnetized disks

Freitas

Saa

2017

Phys. Rev. D

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“…There are many astrophysical sources which are modeled as charged [3] or magnetized [4,5] compact sources, even there are models of galaxies where the electrodynamic contributions are so significant in its behavior and stability [6,7]. In this context, the coalescence and fusion of binary systems is not an exception, especially in systems such NS-NS, where the magnetic moments present in neutron stars influences upon the dynamics of, and resulting gravitational waves [8].…”

Section: Introductionmentioning

confidence: 99%

Sources of gravitational waves in asymptotically flat Einstein-Maxwell spacetime

Quiroga

2017

Gen Relativ Gravit

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In this work, the dynamic of isolated systems in general relativity is described when gravitational radiation and electromagnetic fields are present. In this construction, the asymptotic fields received at null infinity together with the regularized null cone cuts equation, and the center of mass of an asymptotically flat Einstein-Maxwell spacetime are used. A set of equations are derived in the low speed regime, linking their time evolution to the emitted gravitational radiation and to the Maxwell fields received at infinity. These equations should be useful when describing the dynamic of compact sources, such as the final moments of binary coalescence and the evolution of the final black hole. Additionally, we compare our equations with those coming from a similar approach given by Newman, finding some differences in the motion of the center of mass and spin of the gravitational system.

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“…[20,21]. Disk-like matter distribution surrounded by a material halo for corformastatic spacetimes have been studied in [22] and for Einstein-Maxwell fields in [23] and [24]. Axisymmetric conformastatic disk-haloes were also considered in [25] from solutions of Laplace's equation.…”

Section: Introductionmentioning

confidence: 99%

Models of spherical shells as sources of Majumdar–Papapetrou type spacetimes

García-Reyes

2017

Gen Relativ Gravit

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By starting with a seed Newtonian potential-density pair we construct relativistic thick spherical shell models for a Majumdar-Papapetrou type conformastatic spacetime. As a simple example, we considerer a family of Plummer-Hernquist type relativistic spherical shells. As a second application, these structures are then used to model a system composite by a dust disk and a halo of matter. We study the equatorial circular motion of test particles around such configurations. Also the stability of the orbits is analyzed for radial perturbation using an extension of the Rayleigh criterion. The models considered satisfying all the energy conditions. *

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Conformastatic disk-haloes in Einstein-Maxwell gravity

Cited by 30 publications

References 53 publications

Stability aspects of relativistic thin magnetized disks

Stability aspects of relativistic thin magnetized disks

Sources of gravitational waves in asymptotically flat Einstein-Maxwell spacetime

Models of spherical shells as sources of Majumdar–Papapetrou type spacetimes

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