Exact solution for a binary system of unequal counter-rotating black holes

Cabrera‐Munguia, I.; Lämmerzahl, Cláus; Macı́as, Alfredo

doi:10.1088/0264-9381/30/17/175020

Cited by 8 publications

(21 citation statements)

References 40 publications

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“…, 2 , the formulae for S j and κ j reduce to the particular vacuum case already discussed in [12]. Besides, those corresponding to asymmetric black diholes [10] are recovered for J = 0, Q B = 0 and X = 1.…”

Section: Derivation Of the Black Hole Horizonsmentioning

confidence: 58%

“…(9) and Eq. (17) reduce to the vacuum case [12]. Additionally, for B o = 0, Q o = Q E and σ j = M 2 j − μQ 2 E , j = 1, 2, Eq.…”

Section: Asymmetric Black Dyonic Holesmentioning

confidence: 96%

“…(31), is a generalization of the one for the vacuum case [12]. Furthermore, in the vacuum solution, the interaction force related with the strut in-between does not provide any information on the spin-spin interaction, as it happens in the identical case [22].…”

Section: Derivation Of the Black Hole Horizonsmentioning

confidence: 99%

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Asymmetric black dyonic holes

2015

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A 6-parametric asymptotically flat exact solution, describing a two-body system of asymmetric black dyons, is studied. The system consists of two unequal counterrotating Kerr-Newman black holes, endowed with electric and magnetic charges which are equal but opposite in sign, separated by a massless strut. The Smarr formula is generalized in order to take into account their contribution to the mass. The expressions for the horizon half-length parameters σ 1 and σ 2 , as functions of the Komar parameters and of the coordinate distance, are displayed, and the thermodynamic properties of the twobody system are studied. Furthermore, the seven physical parameters satisfy a simple algebraic relation which can be understood as a dynamical scenario, in which the physical properties of one body are affected by the ones of the other body.

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Section: Derivation Of the Black Hole Horizonsmentioning

confidence: 58%

“…(9) and Eq. (17) reduce to the vacuum case [12]. Additionally, for B o = 0, Q o = Q E and σ j = M 2 j − μQ 2 E , j = 1, 2, Eq.…”

Section: Asymmetric Black Dyonic Holesmentioning

confidence: 96%

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Asymmetric black dyonic holes

2015

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“…III. As a matter of fact, the ansatz for solving the axis conditions is an extension of the one that has been used to describe unequal counterrotating Kerr BHs [26], which is recovered after settling q = 0 in Eqs. (14) and (15).…”

Section: The Double-kerr-nut Solution In a Physical Representationmentioning

confidence: 99%

“…2. The constant line q = 0 gives us the following condition among two nonequal counter-rotating Kerr BHs [26]:…”

Section: Physical Representation For the Black Hole Horizonsmentioning

confidence: 99%

Unequal binary configurations of interacting Kerr black holes

Cabrera‐Munguia

2018

Physics Letters B

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Stationary axisymmetric binary configurations of unequal Kerr sources with a massless strut among them are developed in a physical representation. In order to describe interacting black holes, the axis conditions in the most general case are solved analytically deriving the corresponding 5parametric asymptotically flat exact solution. In addition, we obtain concise formulas for the black hole horizons, the interaction force, as well as the thermodynamical characteristics of each source in terms of physical Komar parameters: mass Mi, angular momentum Ji, and coordinate distance R, where such parameters are contained inside of the coefficients of a cubic equation which can be interpreted as a dynamical law for interacting black holes with struts. Some limits are obtained and discussed.

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Geometrical inequalities bounding angular momentum and charges in General Relativity

Dain

Gabach-Clément

2018

Living Rev Relativ

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Geometrical inequalities show how certain parameters of a physical system set restrictions on other parameters. For instance, a black hole of given mass can not rotate too fast, or an ordinary object of given size can not have too much electric charge. In this article, we are interested in bounds on the angular momentum and electromagnetic charges, in terms of total mass and size. We are mainly concerned with inequalities for black holes and ordinary objects. The former are the most studied systems in this context in General Relativity, and where most results have been found. Ordinary objects, on the other hand, present numerous challenges and many basic questions concerning geometrical estimates for them are still unanswered. We present the many results in these areas. We make emphasis in identifying the mathematical conditions that lead to such estimates, both for black holes and ordinary objects.

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Exact solution for a binary system of unequal counter-rotating black holes

Cited by 8 publications

References 40 publications

Asymmetric black dyonic holes

Asymmetric black dyonic holes

Unequal binary configurations of interacting Kerr black holes

Geometrical inequalities bounding angular momentum and charges in General Relativity

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