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Adiabatic radial perturbations of relativistic stars: Analytic solutions to an old problem
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Autores
Orientador(es)
Resumo(s)
We present a new system of equations that fully characterizes adiabatic, radial perturbations of perfect fluid stars within the theory of general relativity. The properties of the system are discussed, and, provided that the equilibrium spacetime verifies some general regularity conditions, analytical solutions for the perturbation variables are found. As illustrative examples, the results are applied to study perturbations of selected classical exact spacetimes, and the first oscillation eigenfrequencies are computed. Exploiting the new formalism, we derive an upper bound for the maximum compactness of stable, perfect fluid stars, which is equation-of-state agnostic and significantly smaller than the Buchdahl bound.
Descrição
Palavras-chave
Fluids & Classical fields in curved spacetime General relativity General relativity equations & solutions Gravitation Stars
Contexto Educativo
Citação
Luz, P., & Carloni, S. (2024). Adiabatic radial perturbations of relativistic stars: Analytic solutions to an old problem. Physical Review D, 110(8), 084054.
Editora
APS, Physical Review Journals