Results 11 to 20 of about 26,777 (280)
Scale Transformations in Metric-Affine Geometry
Universe, 2019 This article presents an exhaustive classification of metric-affine theories according to their scale symmetries. First it is clarified that there are three relevant definitions of a scale transformation.
Damianos Iosifidis, Tomi Koivisto
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On parity-odd sector in metric-affine theories
European Physical Journal C: Particles and Fields, 2023 We undertake the construction of quadratic parity-violating terms involving the curvature in the four-dimensional metric-affine gravity. We demonstrate that there are only 12 linearly independent scalars, plus an additional one that can be removed by ...
Jose Beltrán Jiménez +2 more
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Teleparallel Robertson-Walker Geometries and Applications
Universe, 2023 In teleparallel geometries, the coframe and corresponding spin connection are the principal geometric objects and, consequently, the appropriate definition of a symmetry is that of an affine symmetry. The set of invariant coframes and their corresponding
Alan Albert Coley +2 more
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European Physical Journal C: Particles and Fields, 2023 We study the completeness of light trajectories in certain spherically symmetric regular geometries found in Palatini theories of gravity threaded by non-linear (electromagnetic) fields, which makes their propagation to happen along geodesics of an ...
Merce Guerrero +2 more
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An Algorithm for constructing Hjelmslev planes [PDF]
, 2015 Projective Hjelmslev planes and Affine Hjelmselv planes are generalisations of projective planes and affine planes. We present an algorithm for constructing a projective Hjelmslev planes and affine Hjelsmelv planes using projective planes, affine planes ...
C.J. Colbourn +15 more
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Universe, 2020 Gravity can be formulated as a gauge theory by combining symmetry principles and geometrical methods in a consistent mathematical framework. The gauge approach to gravity leads directly to non-Euclidean, post-Riemannian spacetime geometries, providing ...
Francisco Cabral +2 more
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Kinds of Pregeometries of Cubic Theories
Известия Иркутского государственного университета: Серия "Математика", 2022 The description of the types of geometries is one of the main problems in the structural classification of algebraic systems. In addition to the well-known classical geometries, a deep study of the main types of pregeometries and geometries was carried ...
S. B. Malyshev
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Homogeneous and isotropic cosmology in general teleparallel gravity
European Physical Journal C: Particles and Fields, 2023 We derive the most general homogeneous and isotropic teleparallel geometries, defined by a metric and a flat, affine connection. We find that there are five branches of connection solutions, which are connected via several limits, and can further be ...
Lavinia Heisenberg +2 more
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On the structure of the directions not determined by a large affine point set [PDF]
, 2013 Given a point set $U$ in an $n$-dimensional affine space of size $q^{n-1}-\varepsilon$, we obtain information on the structure of the set of directions that are not determined by $U$, and we describe an application in the theory of partial ovoids of ...
De Beule, Jan +2 more
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Advanced Modeling and Simulation in Engineering Sciences, 2022 A domain decomposition technique combined with an enhanced geometry mapping based on the use of NURBS is considered for solving parametrized models in complex geometries (non simply connected) within the so-called proper generalized decomposition (PGD ...
Mohammad Javad Kazemzadeh-Parsi +2 more
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