Results 81 to 90 of about 58,187 (222)

Geodesic deviation equation in generalized hybrid metric-Palatini gravity

European Physical Journal C: Particles and Fields, 2023
In the context of general relativity, the geodesic deviation equation (GDE) relates the Riemann curvature tensor to the relative acceleration of two neighboring geodesics.
S. Golsanamlou, K. Atazadeh, M. Mousavi
doaj   +1 more source

Large‐Amplitude Periodic Solutions to the Steady Euler Equations With Piecewise Constant Vorticity

Studies in Applied Mathematics, Volume 156, Issue 1, January 2026.
ABSTRACT We consider steady solutions to the incompressible Euler equations in a two‐dimensional channel with rigid walls. The flow consists of two periodic layers of constant vorticity separated by an unknown interface. Using global bifurcation theory, we rigorously construct curves of solutions that terminate either with stagnation on the interface ...
Alex Doak, Karsten Matthies, Jonathan Sewell, Miles H. Wheeler   +3 more
wiley   +1 more source

Catenoid inspired hyperbolic wormhole geometry

Physics Letters B
We unveil a novel class of traversable wormholes exhibiting exact spherical symmetry, geometrically inspired by the minimal surface structure of a catenoid.
Bikramarka S. Choudhury, Md Khalid Hossain, Farook Rahaman   +2 more
doaj   +1 more source

Non-trivial effects of sourceless forces for spinors: toward an Aharonov–Bohm gravitational effect?

European Physical Journal C: Particles and Fields, 2019
Spinor fields are written in polar form so as to compute their tensorial connection, an object that contains the same information of the connection but which is also proven to be a real tensor.
Luca Fabbri, Flora Moulin, Aurélien Barrau   +2 more
doaj   +1 more source

Tensor Decompositions and Their Properties

Mathematics, 2023
In the present paper, we study two different approaches of tensor decomposition. The first part aims to study some properties of tensors that result from the fact that some components are vanishing in certain coordinates.
Patrik Peška, Marek Jukl, Josef Mikeš
doaj   +1 more source

On the paper “Bundle gerbes” by Michael Murray

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract The article gives a brief survey of Murray's notion of bundle gerbes as introduced in his 1996 paper published in the Journal of the London Mathematical Society, together with some of its applications.
Nigel Hitchin
wiley   +1 more source

Vanishing Scalar Invariant Spacetimes in Higher Dimensions

, 2004
We study manifolds with Lorentzian signature and prove that all scalar curvature invariants of all orders vanish in a higher-dimensional Lorentzian spacetime if and only if there exists an aligned non-expanding, non-twisting, geodesic null direction ...
A Coley, A Pravdová, Bergquist G, Bi?ák J, Blau M, Blau M, Coley A, Fulton W, Green M B, Horowitz G T, Horowitz G T, Jordan P, Kofinas G, Kramer D, Kundt W, Maldacena J, Milson R, Milson R Coley A Pravda V Pravdová A, Penrose R, Petrov A, Pravda V, Pravda V, Pravda V, R Milson, Randall L, Russo J G, Russo J G, Shtanov Yu V, Shtanov Yu V, Stewart J, Tseytlin A A, Tseytlin A A, V Pravda   +32 more
core   +3 more sources

Beyond the Hodge theorem: Curl and asymmetric pseudodifferential projections

Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.
Abstract We develop a new approach to the study of spectral asymmetry. Working with the operator curl:=∗d$\operatorname{curl}:={*}\mathrm{d}$ on a connected oriented closed Riemannian 3‐manifold, we construct, by means of microlocal analysis, the asymmetry operator — a scalar pseudodifferential operator of order −3$-3$.
Matteo Capoferri, Dmitri Vassiliev
wiley   +1 more source

Quasi-topological gravities on general spherically symmetric metric

Journal of High Energy Physics, 2023
In this work we study a more restricted class of quasi-topological gravity theories where the higher curvature terms have no contribution to the equation of motion on general static spherically symmetric metric where g tt g rr ≠ constant.
Feiyu Chen
doaj   +1 more source

Free energy expansions of a conditional GinUE and large deviations of the smallest eigenvalue of the LUE

Communications on Pure and Applied Mathematics, Volume 78, Issue 12, Page 2247-2304, December 2025.
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun, Seong‐Mi Seo, Meng Yang   +2 more
wiley   +1 more source