output
20082022
most citedStationary Black Holes: Uniqueness and Beyond

522 citations

57 papers

hep-th2022★ 16 cited

The isospectrality of asymptotic quasinormal modes of large Gauss-Bonnet d-dimensional black holes

Filipe Moura, João Rodrigues

We compute the quasinormal frequencies of d-dimensional large spherically symmetric black holes with Gauss-Bonnet corrections in the highly damped regime. We solve perturbatively t…

gr-qc2022

Primordial magnetic fields in theories of gravity with non-minimal coupling between curvature and matter

Orfeu Bertolami, Maria Margarida Lima, Filipe C. Mena

The existence of magnetic fields in the universe is unmistakable. They are observed at all scales from stars to galaxy clusters. However, the origin of these fields remains enigmat…

gr-qc2022★ 20 cited

Quasinormal modes and stability of boosted Reissner-Nordström AdS black holes

Rodrigo D. B. Fontana, Filipe C. Mena

We investigate the numerical stability of accelerated AdS black holes against linear scalar perturbations. In particular, we study the evolution of a probe non-minimally coupled sc…

math.CT2021

Higher Vector Bundles

Matias del Hoyo, Giorgio Trentinaglia

We introduce higher analogs for cleavages in the context of (Kan) simplicial fibrations. We apply them to obtain geometric models for representations up to homotopy of (higher) Lie…

quant-ph2021★ 3 cited

An abstract theory of physical measurements

Pedro Resende

The question of what should be meant by a measurement is tackled from a mathematical perspective whose physical interpretation is that a measurement is a fundamental process via wh…

gr-qc2020★ 56 cited

Stability of the Cauchy horizon in accelerating black-hole spacetimes

Kyriakos Destounis, Rodrigo D. B. Fontana, Filipe C. Mena

The extendibility of spacetime and the existence of weak solutions to the Einstein field equations beyond Cauchy horizons, is a crucial ingredient to examine the limits of General…

math-ph2020★ 1 cited

On the geometry of physical measurements: topological and algebraic aspects

Pedro Resende

We study the mathematical structure of the notion of measurement space, which extends aspects of noncommutative topology that are based on quantale theory. This yields a geometric…

math.CT2020★ 2 cited

Actions of étale-covered groupoids

Juan Pablo Quijano, Pedro Resende

By restricting to a class of localic open groupoids which, similarly to Lie groupoids, possess appropriate covers by étale groupoids, we extend results about…

gr-qc2019★ 13 cited

Global dynamics of Yang-Mills field and perfect-fluid Robertson-Walker cosmologies

Artur Alho, Vitor Bessa, Filipe C. Mena

We apply a new global dynamical systems formulation to flat Robertson-Walker cosmologies with a massless and massive Yang-Mills field and a perfect-fluid with linear equation of st…

gr-qc2019★ 10 cited

Singularity theorems and the inclusion of torsion in affine theories of gravity

Paulo Luz, Filipe C. Mena

We extend the scope of the Raychaudhuri-Komar singularity theorem of General Relativity to affine theories of gravity with and without torsion. We first generalize the existing foc…

math.DG2019★ 5 cited

Uniqueness among scalar-flat Kähler metrics on non-compact toric -manifolds

Rosa Sena-Dias

Abreu-Sena-Dias have constructed two distinct families of scalar-flat Kähler non-compact toric metrics using Donaldson's rephrasing of Joyce's construction in action-angle coordina…

gr-qc2019★ 44 cited

Strong Cosmic Censorship in Horndeski Theory

Kyriakos Destounis, Rodrigo D. B. Fontana, Filipe C. Mena +1

The strong cosmic censorship hypothesis has recently regained a lot of attention in charged and rotating black holes immersed in de Sitter space. Although the picture seems to be c…

math.CT2018★ 1 cited

Effective equivalence relations and principal quantales

Juan Pablo Quijano, Pedro Resende

Stably supported quantales generalize pseudogroups and provide an algebraic context in which to study the correspondences between inverse semigroups and étale groupoids. Here we st…

math.CT2018★ 1 cited

Functoriality of groupoid quantales. II

Juan Pablo Quijano, Pedro Resende

Taking advantage of the quantale-theoretic description of étale groupoids we study principal bundles, Hilsum-Skandalis maps, and Morita equivalence in terms of modules on inverse q…

math.CA2018★ 1 cited

Point island dynamics under fixed rate deposition

D. Allen, M. Grinfeld, R. Sasportes

In this paper we consider the dynamics of point islands during submonolayer deposition, in which the fragmentation of subcritical size islands is allowed. To understand asymptotics…

math.AG2018★ 17 cited

Unramified covers and branes on the Hitchin system

Emilio Franco, Peter Gothen, André Oliveira +1

We study the locus of the moduli space of Higgs bundles on a curve given by those Higgs bundles obtained by pushforward under an unramified cover. We equip these loci with a hyperh…

math.AG2017★ 10 cited

Branes on the singular locus of the Hitchin system via Borel and other parabolic subgroups

Emilio Franco, Ana Peón-Nieto

We study mirror symmetry on the singular locus of the Hitchin system at two levels. Firstly, by covering it by (supports of) -branes, corresponding to Higgs bundles reducing…

math.AG2017★ 7 cited

Mirror symmetry for Nahm branes

Emilio Franco, Marcos Jardim

The Dirac--Higgs bundle is a hyperholomorphic bundle over the moduli space of stable Higgs bundles of coprime rank and degree. We provide an algebraic generalization to the case of…

math.CT2017★ 3 cited

Open maps of involutive quantales

Pedro Resende

By a map of involutive quantales is meant a homomorphism . Calling a map weakly open if has a left adjoint which satisfies the Frobenius reci…

math.AP2017★ 12 cited

Variational problems with long-range interaction

Nicola Soave, Hugo Tavares, Susanna Terracini +1

We consider a class of variational problems for densities that repel each other at distance. Typical examples are given by the Dirichlet functional and the Rayleigh functional \[ D…

math.OA2017★ 5 cited

Quantales and Fell bundles

Pedro Resende

We study Fell bundles on groupoids from the viewpoint of quantale theory. Given any saturated upper semicontinuous Fell bundle on an étale groupoid with locall…

hep-th2016★ 63 cited

Twin Supergravities from Yang-Mills Squared

A. Anastasiou, L. Borsten, M. J. Duff +4

We consider `twin supergravities' - pairs of supergravities with and supersymmetries, , with identical bosonic sectors…

math.DG2016

Recovering -invariant toric Kähler metrics on from the torus equivariant spectrum

Tomás A. Reis, Rosa Sena-Dias

In this note we prove that toric Kähler metrics on complex projective space which are also -invariant are determined by their equivariant spectrum i.e. the list of eigenvalue…

math.AP2016★ 21 cited

A JKO splitting scheme for Kantorovich-Fisher-Rao gradient flows

Thomas Gallouët, Léonard Monsaingeon

In this article we set up a splitting variant of the JKO scheme in order to handle gradient flows with respect to the Kantorovich-Fisher-Rao metric, recently introduced and defined…