Circular solution of two unequal mass particles in post-Minkowski approximation

Glenz, Matthew M.; Uryū, Kōji

doi:10.1103/physrevd.76.027501

Cited by 5 publications

(3 citation statements)

References 4 publications

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“…Moreover, studies on the magnetized systems demand extra conservation laws applied to the ideal magnetohydrodynamic fluid [43,44] which was also taken into account in [31]. The stability of binary objects orbits was examined for example in [45][46][47][48]. Because of the last discoveries of gravitational waves coming from mergers of black holes [49][50][51][52][53] and neutron stars' coalescence [54], the studies on compact binaries are on the high demand.…”

Section: Jcap05(2018)023mentioning

confidence: 99%

“…Various aspects of the helically symmetric spacetimes were studied in [30,[34][35][36][37][38][39][40][41][42]. For instance, circular orbits of two point particles in post-Minkowskian spacetimes were considered in [45,95], while conformally flat spacelike slices of the spacetime manifold turned out to be nonradiative and asymptotically flat [46][47][48].…”

Section: Jcap05(2018)023 5 Binary Compact Objects With the Influence ...mentioning

confidence: 99%

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Dark matter influence on black objects thermodynamics

Rogatko

Wojnar

2018

J. Cosmol. Astropart. Phys.

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Physical process version of the first law of black hole thermodynamics in Einstein-Maxwell dark matter gravity was derived. The dark matter sector is mimicked by the additional U(1)-gauge field coupled to the ordinary Maxwell one. By considering any cross section of the black hole event horizon to the future of the bifurcation surface, the equilibrium state version of the first law of black hole mechanics was achieved. The considerations were generalized to the case of Einstein-Yang-Mills dark matter gravity theory. The main conclusion is that the influence of dark matter is crucial in the formation process of black objects. This fact may constitute the explanation of the recent observations of the enormous mass of the super luminous quasars formed in a relatively short time after Big Bang. We also pay attention to the compact binaries thermodynamics, when dark matter sector enters the game.

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Section: Jcap05(2018)023mentioning

confidence: 99%

Section: Jcap05(2018)023 5 Binary Compact Objects With the Influence ...mentioning

confidence: 99%

Dark matter influence on black objects thermodynamics

Rogatko

Wojnar

2018

J. Cosmol. Astropart. Phys.

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“…Solutions with such symmetry are stationary in the corotating frame and have a long history, starting from the electromagnetic two-body problem [90]. Analogous solutions in the post-Minkowski approximation have been derived in [91,92]. Helical symmetry was also used to obtain the first law of binary star thermodynamics [93], as well as to produce equilibrium configurations of binary black holes [94,95].…”

Section: A the Gravitational Equationsmentioning

confidence: 99%

New code for quasiequilibrium initial data of binary neutron stars: Corotating, irrotational, and slowly spinning systems

2015

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We present the extension of our COCAL -Compact Object CALculator -code to compute general-relativistic initial data for binary compact-star systems. In particular, we construct quasiequilibrium initial data for equalmass binaries with spins that are either aligned or antialigned with the orbital angular momentum. The IsenbergWilson-Mathews formalism is adopted and the constraint equations are solved using the representation formula with a suitable choice of a Green's function. We validate the new code with solutions for equal-mass binaries and explore its capabilities for a wide range of compactnesses, from a white dwarf binary with compactness ∼ 10 −4 , up to a highly relativistic neutron-star binary with compactness ∼ 0.22. We also present a comparison with corotating and irrotational quasiequilibrium sequences from the spectral code LORENE [Taniguchi and Gourgoulhon, Phys. Rev. D 66, 104019 (2002)] and with different compactness, showing that the results from the two codes agree to a precision of the order of 0.05%. Finally, we present equilibria for spinning configurations with a nuclear-physics equation of state in a piecewise polytropic representation.

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Quasi-equilibrium models of magnetized compact objects

Markakis

Uryū²,

Gourgoulhon³

2011

J. Phys.: Conf. Ser.

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We report work towards a relativistic formulation for modeling strongly magnetized neutron stars, rotating or in a close circular orbit around another neutron star or black hole, under the approximations of helical symmetry and ideal MHD. The quasi-stationary evolution is governed by the first law of thermodynamics for helically symmetric systems, which is generalized to include magnetic fields. The formulation involves an iterative scheme for solving the Einstein-Maxwell and relativistic MHD-Euler equations numerically. The resulting configurations for binary systems could be used as self-consistent initial data for studying their inspiral and merger.

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Circular solution of two unequal mass particles in post-Minkowski approximation

Cited by 5 publications

References 4 publications

Dark matter influence on black objects thermodynamics

Dark matter influence on black objects thermodynamics

New code for quasiequilibrium initial data of binary neutron stars: Corotating, irrotational, and slowly spinning systems

Quasi-equilibrium models of magnetized compact objects

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