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Auteurs principaux: Ribeiro, Eveling C., Formigari, L., Ribeiro Jr., Marcos R., Abdalla, Elcio, Cuadros-Melgar, Bertha, Molina, C., de Queiroz, Amilcar R., Saa, Alberto
Format: Preprint
Publié: 2024
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Accès en ligne:https://arxiv.org/abs/2411.11117
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author Ribeiro, Eveling C.
Formigari, L.
Ribeiro Jr., Marcos R.
Abdalla, Elcio
Cuadros-Melgar, Bertha
Molina, C.
de Queiroz, Amilcar R.
Saa, Alberto
author_facet Ribeiro, Eveling C.
Formigari, L.
Ribeiro Jr., Marcos R.
Abdalla, Elcio
Cuadros-Melgar, Bertha
Molina, C.
de Queiroz, Amilcar R.
Saa, Alberto
contents We investigate the stability of scalar perturbations around a magnetized stationary compact object in General Relativity. The considered object is one of the simplest exact solutions of Einstein electrovacuum equations corresponding to a spheroidal body endowed with a dipole magnetic moment. It is effectively constructed by imposing a perfect reflection (mirror) boundary condition on a central region of the Gutsunaev-Manko spacetime. A time-domain analysis of the perturbations reveals a quasinormal phase followed by a power-law decaying tail. Our findings suggest that the exterior region of the magnetized compact object is stable in the entire parameter space. Moreover, the system tends to become generically more stable the stronger the magnetization of the central object is. Such findings can be useful for the qualitative understanding of more realistic astrophysical situations involving highly magnetized sources.
format Preprint
id arxiv_https___arxiv_org_abs_2411_11117
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stability of the spacetime of a magnetized compact object
Ribeiro, Eveling C.
Formigari, L.
Ribeiro Jr., Marcos R.
Abdalla, Elcio
Cuadros-Melgar, Bertha
Molina, C.
de Queiroz, Amilcar R.
Saa, Alberto
General Relativity and Quantum Cosmology
We investigate the stability of scalar perturbations around a magnetized stationary compact object in General Relativity. The considered object is one of the simplest exact solutions of Einstein electrovacuum equations corresponding to a spheroidal body endowed with a dipole magnetic moment. It is effectively constructed by imposing a perfect reflection (mirror) boundary condition on a central region of the Gutsunaev-Manko spacetime. A time-domain analysis of the perturbations reveals a quasinormal phase followed by a power-law decaying tail. Our findings suggest that the exterior region of the magnetized compact object is stable in the entire parameter space. Moreover, the system tends to become generically more stable the stronger the magnetization of the central object is. Such findings can be useful for the qualitative understanding of more realistic astrophysical situations involving highly magnetized sources.
title Stability of the spacetime of a magnetized compact object
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2411.11117