Results 71 to 80 of about 8,378,483 (177)

Scalar field as a null dust

European Physical Journal C: Particles and Fields, 2019
We show that a canonical, minimally coupled scalar field which is non-self interacting and massless is equivalent to a null dust fluid (whether it is a test or a gravitating field), in a spacetime region in which its gradient is null.
Valerio Faraoni, Jeremy Côté
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A necessary and sufficient condition for a vector field to be Killing

, 1979
Lynge (see (4)), proved that X vector field on a compact and connected manifold M, is Killing in a Riemannian metric g, if and only if there exist k complete vector fields X1 , ... , Xk; such that: 1) The fl.ows of the Xi are a11 periodic, 2) [X;, X;]
Currás Bosch, Carlos
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Killing Vector Fields of Invariant Metrics on Five-Dimensional Solvable Lie Groups

Mathematics
In this paper we study the existence of Killing vector fields for right-invariant metrics on five-dimensional Lie groups. We begin by providing some explanation of the classification lists of the low-dimensional Lie algebras.
Gerard Thompson
doaj   +1 more source

Killing vector fields and harmonic forms [PDF]

Transactions of the American Mathematical Society, 1974
The paper is concerned with harmonic ( p , q )
openaire   +1 more source

Euclidean supersymmetric solutions with the self-dual Weyl tensor

Physics Letters B, 2017
We explore the Euclidean supersymmetric solutions admitting the self-dual gauge field in the framework of N=2 minimal gauged supergravity in four dimensions.
Masato Nozawa
doaj   +1 more source

Connectivity by geodesics on globally hyperbolic spacetimes with a lightlike Killing vector field

, 2017
Given a globally hyperbolic spacetime endowed with a complete lightlike Killing vector field and a complete Cauchy hypersurface, we characterize the points which can be connected by geodesics.
Rossella Bartolo, Anna Maria Candela, Candela AM, BARTOLO, Rossella, José Luis Flores, Flores JL   +5 more
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2-Conformal Vector Fields on the Model Sol Space and Hyperbolic Ricci Solitons

Journal of Mathematics
In this study, we present the notion of 2-conformal vector fields on Riemannian and semi-Riemannian manifolds, which are an extension of Killing and conformal vector fields. Next, we provide suitable vector fields in Sol space that are 2-conformal. A few
Rawan Bossly, Ghodratallah Fasihi-Ramandi, Mohd Danish Siddiqi   +2 more
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Classification of Invariant 2-Conformal Vector Fields on 4D Non-Reductive Homogeneous Spaces

Axioms
The notion of 2-conformal vector fields on pseudo-Riemannian manifolds, which arose naturally in the study of hyperbolic solitons, is introduced by Fasihi-Ramandi, De, and Shamkhali.
Bang-Yen Chen, Foued Aloui, Majid Ali Choudhary, Ibrahim Al-Dayel   +3 more
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

Causal ladder of Finsler spacetimes with a cone Killing vector field [PDF]

The correspondence between wind Riemannian structures and spacetimes endowed with a Killing vector field is deepened by considering a cone structure endowed with a vector field that preserve the structure (termed "cone Killing vector field") and a wind ...
Caponio, Erasmo, javaloyes, Miguel Angel
core