Zobrazeno 1 - 10
of 3 669
pro vyhledávání: '"Gittins, A"'
We consider the Courant-sharp eigenvalues of the Robin Laplacian for bounded, connected, open sets in $\mathbb{R}^n$, $n \geq 2$, with Lipschitz boundary. We prove Pleijel's theorem which implies that there are only finitely many Courant-sharp eigenv
Externí odkaz:
http://arxiv.org/abs/2411.11427
We consider the magnetic Steklov eigenvalue problem on compact Riemannian manifolds with boundary for generic magnetic potentials and establish various results concerning the spectrum. We show a Shikegawa type gauge-equivalence for the magnetic Stekl
Externí odkaz:
http://arxiv.org/abs/2410.07462
Mature neutron stars are expected to exhibit gravity g-modes due to stratification caused by a varying matter composition in the high-density core. By employing the BSk equation of state family, and working within the relativistic Cowling approximati
Externí odkaz:
http://arxiv.org/abs/2409.20178
Next-generation gravitational-wave instruments are expected to constrain the equation of state of dense nuclear matter by observing binaries involving neutron stars. We highlight a problematic systematic error in finite-temperature merger simulations
Externí odkaz:
http://arxiv.org/abs/2409.13468
Autor:
Berg, Michiel van den, Gittins, Katie
Qualitative properties such as convexity and monotonicity of the heat content in Riemannian manifolds and in Euclidean space in particular are obtained.
Comment: 14 pages
Comment: 14 pages
Externí odkaz:
http://arxiv.org/abs/2408.02447
Autor:
Gittins, Fabian, Andersson, Nils
The oscillation spectrum of a neutron star is notably rich and intrinsically dependent on the equation of state of nuclear matter. With recent advancements in gravitational-wave and electromagnetic astronomy, we are nearing the capability to perform
Externí odkaz:
http://arxiv.org/abs/2406.05177
We investigate upper bounds for the spectral ratios and gaps for the Steklov eigenvalues of balls with revolution-type metrics. We do not impose conditions on the Ricci curvature or on the convexity of the boundary. We obtain optimal upper bounds for
Externí odkaz:
http://arxiv.org/abs/2403.13426
Autor:
Gittins, Fabian
Publikováno v:
Class. Quantum Grav. 41 043001 (2024)
Rotating neutron stars that support long-lived, non-axisymmetric deformations known as mountains have long been considered potential sources of gravitational radiation. However, the amplitude from such a source is very weak and current gravitational-
Externí odkaz:
http://arxiv.org/abs/2401.01670
Autor:
Gittins, Katie, Gordon, Carolyn, Solis, Ingrid Membrillo, Rossetti, Juan Pablo, Sandoval, Mary, Stanhope, Elizabeth
In \cite{GGKM-SSS} we examined the relationship between the singular set of a compact Riemannian orbifold and the spectrum of the Hodge Laplacian on $p$-forms by computing the heat invariants associated to the $p$-spectrum. We showed that the heat in
Externí odkaz:
http://arxiv.org/abs/2311.00337
Mature neutron stars are expected exhibit gravity g-modes due to stratification caused by varying composition. These modes are affected by nuclear reactions, leading to complex (damped) mode frequencies and the suppression of high order g-modes, in c
Externí odkaz:
http://arxiv.org/abs/2310.13586