The relations between the multipole moments in axistationary electrovacuum spacetimes and the N-soliton solution

Filho, Etevaldo dos Santos Costa; Guimarães, Angelo; Cabrera‐Munguia, I.

doi:10.1007/s10714-022-02903-w

Cited by 4 publications

(4 citation statements)

References 47 publications

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“…To date, the electrovac algorithm has not been used to explicitly determine the metric with a set of massive, spin, and electromagnetic multipoles. The Hoenselaers-Perjés method had two mistakes, the first one was found by Sotiriou and Apostolatos [29], and the second one by Perjés [30,31,32]. In this contribution, we present approximate solutions of the EME.…”

Section: Introductionmentioning

confidence: 93%

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Approximate Kerr-Newman-like metric with quadrupole

Frutos─Alfaro

Gómez-Ovares

Montero-Camacho

2021

RMTA

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The Kerr metric is known to have issues when trying to find a physical interior solution. In this work we continue our efforts to construct a more realistic exterior metric for astrophysical objects. A new approximate metric representing the spacetime of a charged, rotating and slightly-deformed body is obtained by perturbing the Kerr-Newman metric to include the mass-quadrupole and quadrupole-quadrupole orders. It has a simple form because it is Kerr-Newman-like.

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Section: Introductionmentioning

confidence: 93%

“…Employing the recurrence relationships, the functions f and A t are found directly (f = Re[E] + ΦΦ * and A t = Re[Φ]). To find ω, A φ , and γ, we have to integrate (43), (44), (32) or (33). The results for f, ω, and γ are…”

Section: Introductionmentioning

confidence: 99%

Approximate Kerr-Newman-like metric with quadrupole

Frutos─Alfaro

Gómez-Ovares

Montero-Camacho

2021

RMTA

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“…Sotiriou and Apostolatos corrected some typos in Fodor's article [40]. Recently, Perjés found another error when computing relativistic axial-symmetric electrovacuum multipoles [41][42][43]. Moreover, Pappas found a spacetime with five relativistic multipoles, namely, mass, spin, mass quadrupole, spin octupole, and mass hexadecapole, using this technique [39].…”

Section: Generation Of the Approximate Spacetime From Relativistic Mu...mentioning

confidence: 99%

“…To date, the electrovac algorithm has not been used to explicitly determine the metric with a set of massive, spin, and electromagnetic multipoles. The Hoenselaers-Perjés method had two mistakes; the first one was found by Sotiriou and Apostolatos [40], and the second one by Perjés [41][42][43].…”

Section: Introductionmentioning

confidence: 99%

An approximate Kerr–Newman-like metric endowed with a magnetic dipole and mass quadrupole

Frutos-Alfaro

2024

Commun. Theor. Phys.

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Approximate all-terrain spacetimes for astrophysical applications are presented. The metrics possess five relativistic multipole moments,namely mass, rotation, mass quadrupole, charge, and magnetic dipole moment. All these spacetimes approximately satisfy the Einstein-Maxwell field equations. The first metric is generated by means of the Hoenselaers-Perjés method from given relativistic multipoles. Thesecond metric is a perturbation of the Kerr-Newman metric, which makes it a relevant approximation for astrophysical calculations. Thelast metric is an extension of the Hartle-Thorne metric that is important for obtaining internal models of compact objects perturbatively.The electromagnetic field is calculated using Cartan forms for locally nonrotating observers. These spacetimes are relevant to infer properties of compact objects from astrophysical observations. Furthermore, the numerical implementations of these metrics are straightforward, making them versatile for simulating the potential astrophysical applications.

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Spinning Proca-Higgs balls, stars and hairy black holes

Herdeiro,

Radu,

dos Santos Costa Filho

2024

J. Cosmol. Astropart. Phys.

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Recently, spherical and static flat space solitons (balls) and self-gravitating, everywhere regular, asymptotically flat solitons (stars) were constructed in an Einstein-Proca-Higgs model [1], where a complex vector field gains mass by coupling to a real scalar field with a Higgs-type potential. The Proca-Higgs model serves as a UV completion of a complex Proca model with self-interactions. Here, we construct and examine the mathematical and physical properties of rotating configurations. In particular, rotation allows horizon-bearing solutions, including stationary clouds surrounding Kerr black holes and their non-linear continuation into black holes with Proca-Higgs hair.

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The relations between the multipole moments in axistationary electrovacuum spacetimes and the N-soliton solution

Cited by 4 publications

References 47 publications

Approximate Kerr-Newman-like metric with quadrupole

Approximate Kerr-Newman-like metric with quadrupole

An approximate Kerr–Newman-like metric endowed with a magnetic dipole and mass quadrupole

Spinning Proca-Higgs balls, stars and hairy black holes

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