Results 11 to 20 of about 93,031 (274)
Results in Physics, 2023 The focus of this research is to investigate conformal vector fields (CVFs) of Bianchi type I space–times in modified teleparallel gravity (MTG). In order to determine such vector fields, we make a classification of said space–times.
Shabeela Malik +5 more
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Local dynamics of conformal vector fields [PDF]
Geometriae Dedicata, 2011 The aim of the paper is to understand the local forms of conformal vector fields in the neighborhood of a singularity. We begin a general study in this direction, for any pseudo-Riemannian type, and give a complete answer in the Riemannian case. This is done using geometric methods, and studying local dynamics of sequences of conformal transformations.
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Conformal Vector Fields on Some Finsler Manifolds [PDF]
Science China Mathematics, 2015 We study conformal vector fields on a Finsler manifold whose metric is defined by a Riemannian metric, a 1-form and its norm. We find PDEs characterizing conformal vector fields.
Shen, Zhongmin, Yuan, Mingao
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Conformal vector fields on pseudo-Riemannian spaces
Differential Geometry and its Applications, 1997 The authors make a study of global conformal vector fields on pseudo-Riemannian manifolds, in particular on Einstein manifolds and manifolds of constant scalar curvature. For Einstein spaces, a complete classification theorem is presented. In the more general case where the manifold has constant scalar curvature, a similar classification result is ...
Kühnel, Wolfgang, Rademacher, Hans-Bert
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General light-cone gauge approach to conformal fields and applications to scalar and vector fields
Journal of High Energy Physics, 2023 Totally symmetric arbitrary spin conformal fields propagating in the flat space of even dimension greater than or equal to four are studied. For such fields, we develop a general ordinary-derivative light-cone gauge formalism and obtain restrictions ...
R. R. Metsaev
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Notes on conformal invariance of gauge fields [PDF]
, 2015 In Lagrangian gauge systems, the vector space of global reducibility parameters forms a module under the Lie algebra of symmetries of the action. Since the classification of global reducibility parameters is generically easier than the classification of ...
Barnich, Glenn +2 more
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Conformal and Disformal Structure of 3D Circularly Symmetric Static Metric in f(R) Theory of Gravity
Mehran University Research Journal of Engineering and Technology, 2020 conformal vector fields are treated as generalization of homothetic vector fields while disformal vector fields are defined through disformal transformations which are generalization of conformal transformations, therefore it is important to study ...
Muhammad Ramzan +2 more
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Conformal Symmetries of the Strumia–Tetradis’ Metric
Physical Sciences Forum, 2023 In a recent paper, a new conformally flat metric was introduced, describing an expanding scalar field in a spherically symmetric geometry. The spacetime can be interpreted as a Schwarzschild-like model with an apparent horizon surrounding the curvature ...
Pantelis S. Apostolopoulos +1 more
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CONFORMAL VECTOR FIELDS AND TOTALLY UMBILIC HYPERSURFACES [PDF]
Bulletin of the Korean Mathematical Society, 2002 Let \((M^n,g)\), \(n\geq 2\), be a connected semi-Riemannian hypersurface of a semi-Riemannian space form \((\overline{M}_k^{n+1}(\overline{c}),\overline{g})\) of signature \(k\). Assume that the ambient manifold carries a conformal vector field \(V\) such that the tangential part \((V|M^n)^T\) becomes a conformal vector field on the hypersurface. Then
Kim, Dong-Soo +3 more
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Symmetries of locally rotationally symmetric Bianchi type V spacetime
Results in Physics, 2023 In this paper, we classify the metric of locally rotationally symmetric Bianchi type V spacetime through its symmetries, including Killing, homothetic and conformal vector fields.
Jamshed Khan +3 more
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