Results 81 to 90 of about 85,733 (177)

On the local extension of Killing vector-fields in Ricci flat manifolds

, 2011
We revisit the problem of extension of Killing vector-fields in smooth Ricci flat manifolds, and its relevance to the black hole rigidity ...
Ionescu, Alexandru D., Klainerman, Sergiu   +1 more
core  

Orthonormal Right-Handed Frames on the Two-Sphere and Solutions to Maxwell’s Equations via de Broglie Waves

Mathematics
This paper explores some frame bundles and physical implications of Killing vector fields on the two-sphere S2, culminating in a novel application to Maxwell’s equations in free space.
David Carfì
doaj   +1 more source

Chiral interactions of fermions and massive gauge fields in Kaluza-Klein models

Journal of High Energy Physics
In Kaluza-Klein theory, gauge fields on M 4 arise as components of a higher-dimensional metric defined on M 4 × K. The traditional expectation is that all the gauge fields of the Standard Model are linked to exact Killing vector fields on the internal ...
João Baptista
doaj   +1 more source

Killing Vector Fields and Superharmonic Field Theories

, 2013
The harmonic action functional allows a natural generalisation to semi-Riemannian supergeometry, referred to as superharmonic action, which resembles the supersymmetric sigma models studied in high energy physics. We show that Killing vector fields are infinitesimal supersymmetries of the superharmonic action and prove three different Noether theorems ...
openaire   +2 more sources

Gauging generalised symmetries in linear gravity

Journal of High Energy Physics
The theory of a free spin-2 field on Minkowski spacetime has 1-form and (d − 3)-form symmetries associated with conserved currents formed by contractions of the linearised Riemann tensor with conformal Killing-Yano 2-forms. We show that a subset of these
Chris Hull, Maxwell L. Hutt, Ulf Lindström   +2 more
doaj   +1 more source

From Maxwell’s equations to relativistic Schrödinger equations via Schwartz Linear Algebra and Killing frames on the two-sphere

Pracì Mìžnarodnogo Geometričnogo Centru
In this work, we develop a rigorous framework partially unifying classical electromagnetism and relativistic quantum mechanics through the language of Schwartz Linear Algebra and via continuous symmetries of the 2-sphere.
David Carfì
doaj   +1 more source

Rotating AdS3 × S3 and dyonic strings from 3-dimensions

Journal of High Energy Physics
We make a general Killing spinor analysis of a particular D = 3, N = 4 gauged supergravity that comes from a consistent S3 reduction of D = 6, N = (1, 0) supergravity coupled to a single chiral tensor multiplet.
Nihat Sadik Deger, Ceren Ayse Deral, Aritra Saha, Özgür Sarıoğlu   +3 more
doaj   +1 more source

Generalized Komar charges and Smarr formulas for black holes and boson stars

SciPost Physics Core
The standard Komar charge is a $(d-2)$-form that can be defined in spacetimes admitting a Killing vector and which is closed when the vacuum Einstein equations are satisfied.
Romina Ballesteros, Tomás Ortín
doaj   +1 more source

Conformal motions of locally rotationally symmetric Bianchi type I space–times in f(Q) gravity

Results in Physics
In this paper, first, we find locally rotationally symmetric (LRS) Bianchi type I solutions in symmetric teleparallel gravity, which is so-called f(Q) gravity, where f(Q) is the function of non-metricity scalar Q. To explore the solutions, we assume both
Muhammad Jawad Ayyoub, Noura Alhouiti, Muhammad Ramzan, Arshad Ali, Akram Ali   +4 more
doaj   +1 more source

Killing vector fields and characteristic forms

Japanese journal of mathematics. New series, 1995
Let \((M,g)\) be a compact orientable Riemannian manifold, \(\dim M =n =2m\), \(\nabla\) the Riemannian connection, \(\omega\) the connection form and \(\Omega =d\omega- \omega\wedge \omega\) the curvature form. The structure group of the tangent bundle of \(M\) is \(SO(n)\), and the corresponding Lie algebra \(o(n)\) is the algebra of real \((n\times ...
openaire   +3 more sources