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pro vyhledávání: '"Fernandes, P G"'
We prove that for every ${\gamma > 0}$ there exists $n_0 \in \mathbb{N}$ such that for every ${n \geq n_0}$ any family of up to $\lfloor{n^{\frac12+\gamma}}\rfloor$ trees having at most $(1-\gamma)n$ vertices in each bipartition class can be packed i
Externí odkaz:
http://arxiv.org/abs/2410.13290
Autor:
Ventagli, Giulia, Fernandes, Pedro G. S., Maselli, Andrea, Padilla, Antonio, Sotiriou, Thomas P.
Phase transitions can play an important role in the cosmological constant problem, allowing the underlying vacuum energy, and therefore the value of the cosmological constant, to change. Deep within the core of neutron stars, the local pressure may b
Externí odkaz:
http://arxiv.org/abs/2404.19012
In this work, we explore the properties and shadows of spin-induced scalarized black holes, as well as investigate how a Ricci coupling influences them. Our findings reveal significant deviations from the Kerr metric in terms of the location and geod
Externí odkaz:
http://arxiv.org/abs/2403.14596
We prove that in any $n$-vertex complete graph there is a collection $\mathcal{P}$ of $(1 + o(1))n$ paths that strongly separates any pair of distinct edges $e, f$, meaning that there is a path in $\mathcal{P}$ which contains $e$ but not $f$. Further
Externí odkaz:
http://arxiv.org/abs/2312.14879
In general relativity, all vacuum black holes are described by the Kerr solution. Beyond general relativity, there is a prevailing expectation that deviations from the Kerr solution increase with the horizon curvature. We challenge this expectation b
Externí odkaz:
http://arxiv.org/abs/2312.11430
The Steiner Multicycle problem consists of, given a complete graph, a weight function on its vertices, and a collection of pairwise disjoint non-unitary sets called terminal sets, finding a minimum weight collection of vertex-disjoint cycles in the g
Externí odkaz:
http://arxiv.org/abs/2308.07471
In 1996, Matheson and Tarjan proved that every near planar triangulation on $n$ vertices contains a dominating set of size at most $n/3$, and conjectured that this upper bound can be reduced to $n/4$ for planar triangulations when $n$ is sufficiently
Externí odkaz:
http://arxiv.org/abs/2308.02754
Publikováno v:
Class.Quant.Grav. 40 (2023) 20, 205021
In this work we construct and analyse non-perturbative stationary and axially-symmetric black hole solutions in General Relativity coupled to an electromagnetic and an axion field. The axion field is coupled to the electromagnetic field, which leads
Externí odkaz:
http://arxiv.org/abs/2306.03662
Autor:
Fernandes, Pedro G. S.
Publikováno v:
Phys.Rev.D 108 (2023) 6, L061502
We present analytic stationary and axially-symmetric black hole solutions to the semiclassical Einstein equations that are sourced by the trace anomaly. We also find that the same spacetime geometry satisfies the field equations of a subset of Hornde
Externí odkaz:
http://arxiv.org/abs/2305.10382
Publikováno v:
Class. Quantum Grav. (2023) 40 165001
We discuss and implement a spectral method approach to computing stationary and axisymmetric black hole solutions and their properties in modified theories of gravity. The resulting code is written in the Julia language and is transparent and easily
Externí odkaz:
http://arxiv.org/abs/2212.07293