15 citations · 33 across the 7 of their papers we have counts for
8 papers
Bilinear products and the orthogonality of quasinormal modes on hyperboloidal foliations
Marica Minucci, Rodrigo Panosso Macedo, Christiana Pantelidou +1
We explore the properties of bilinear products for black-hole quasinormal modes (QNMs) formulated on hyperboloidal foliations. We find that, although QNM solutions are smooth and f…
The Confluent Heun functions in Black Hole Perturbation Theory: a spacetime interpretation
Marica Minucci, Rodrigo Panosso Macedo
This work provides a spacetime interpretation of the confluent Heun functions within black hole perturbation theory (BHPT) and explores their relationship to the hyperboloidal fram…
Conformal geodesics and the evolution of spacetimes with positive Cosmological constant
Marica Minucci
This article provides a discussion on the construction of conformal Gaussian gauge systems to study the evolution of solutions to the Einstein field equations with positive Cosmolo…
On the non-linear stability of the Cosmological region of the Schwarzschild-de Sitter spacetime
Marica Minucci, Juan Antonio Valiente Kroon
The non-linear stability of the sub-extremal Schwarzschild-de Sitter spacetime in the stationary region near the conformal boundary is analysed using a technique based on the exten…
The Maxwell-scalar field system near spatial infinity
Marica Minucci, Rodrigo Panosso Macedo, Juan Antonio Valiente Kroon
We make use of Friedrich's representation of spatial infinity to study asymptotic expansions of the Maxwell-scalar field system near spatial infinity. The main objective of this an…
A conformal approach to the stability of Einstein spaces with spatial sections of negative scalar curvature
Marica Minucci, Juan Antonio Valiente Kroon
In this article, it is shown how the extended conformal Einstein field equations and a gauge based on the properties of conformal geodesics can be used to analyse the non-linear st…
A new perspective on the Ermakov-Pinney and scalar wave equations
Giampiero Esposito, Marica Minucci
The first part of the paper proves that a subset of the general set of Ermakov-Pinney equations can be obtained by differentiation of a first-order non-linear differential equation…
Hyperbolic Equations and General Relativity
Marica Minucci
This is the author Master's Thesis and its main purpose is to demonstrate that it is possible to formulate Einstein's field equations as an initial value problem. The first chapter…