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Wind-Finslerian structure of black holes

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Autor(es):
Dehkordi, Hengameh R. ; Richartz, Mauricio ; Saa, Alberto
Número total de Autores: 3
Tipo de documento: Artigo Científico
Fonte: PHYSICAL REVIEW D; v. 112, n. 2, p. 12-pg., 2025-07-01.
Resumo

Recently, there has been an increasing interest in the Finslerian interpretation of null geodesics in the exterior regions of stationary black holes, particularly through the Zermelo navigation problem and the Randers metric. In this work, we show that recent mathematical advancements in wind-Finslerian structures, which involve the critical and strong Zermelo navigation problems and their connections to Kropina and Lorentz-Finsler metrics, enable the extension of the Finslerian framework to encompass horizons and their interior regions of black holes. The Finslerian indicatrix, a key element of this framework, serves as an effective tool for identifying frame-dragging effects and the location of horizons and ergosurfaces. We illustrate our results with explicit physical examples, focusing on spherically symmetric black holes, Kerr black holes, and analog models of gravity. Our findings provide new insights into the "river model" of black holes, offering enhanced visual representations of null geodesics on the ergosurfaces and horizons and within their interior regions. (AU)

Processo FAPESP: 22/15371-3 - Aplicação da métrica Finsler na modelagem matemática da propagação de incêndio
Beneficiário:Hengameh Raeisidehkordi
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 22/08335-0 - Vorticidade em modelos análogos de gravitação
Beneficiário:Maurício Richartz
Modalidade de apoio: Auxílio à Pesquisa - Regular
Processo FAPESP: 21/09293-7 - Espectroscopia de buracos negros: aspectos físicos e matemáticos
Beneficiário:Alberto Vazquez Saa
Modalidade de apoio: Bolsas no Exterior - Pesquisa