Michele Machado Lenzi

Apr 15, 2024 | link.aps.org | Michele Machado Lenzi |Campus UAB |Edifici Nexus |Carlos F. Sopuerta

Perturbation theory of vacuum spherically-symmetric spacetimes (including the cosmological constant) has greatly contributed to the understanding of black holes, relativistic compact stars, and even inhomogeneous cosmological models. The perturbative equations can be decoupled in terms of (gauge-invariant) master functions satisfying 1+1 wave equations.

Apr 25, 2023 | link.aps.org | Michele Machado Lenzi |Campus UAB |Edifici Nexus |Carlos F. Sopuerta

Abstract It has recently been shown that the dynamics of perturbed nonrotating black holes (BHs) admits an infinite number of symmetries that are generated by the flow of the Korteweg-de Vries (KdV) equation. These symmetries lead to an infinite number of conserved quantities that can be obtained as integrals of differential polynomials in the potential appearing in the gauge-invariant master equations describing the BH perturbations, the KdV integrals.

Feb 6, 2023 | link.aps.org | Michele Machado Lenzi |Campus UAB |Edifici Nexus |Carlos F. Sopuerta

Abstract The dynamics of perturbed nonrotating black holes (BHs) can be described in terms of master equations of the wave type with a potential. In the frequency domain, the master equations become time-independent Schrödinger equations with no discrete spectrum. It has been recently shown that these wave equations possess an infinite number of symmetries that correspond to the flow of the infinite hierarchy of Korteweg–de Vries (KdV) equations.