Superenergy tensors and their applications

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dc.creatorSenovilla, J. M. M.
dc.date2002-02-20
dc.date.accessioned2026-07-07T04:29:00Z
dc.date.available2026-07-07T04:29:00Z
dc.descriptionIn Lorentzian manifolds of any dimension the concept of causal tensors is introduced. Causal tensors have positivity properties analogous to the so-called ``dominant energy condition''. Further, it is shown how to build, from ANY given tensor $A$, a new tensor quadratic in $A$ and ``positive'', in the sense that it is causal. These tensors are called superenergy tensors due to historical reasons because they generalize the classical energy-momentum and Bel-Robinson constructions. Superenergy tensors are basically unique and with multiple and diverse physical and mathematical applications, such as: a) definition of new divergence-free currents, b) conservation laws in propagation of discontinuities of fields, c) the causal propagation of fields, d) null-cone preserving maps, e) generalized Rainich-like conditions, f) causal relations and transformations, and g) generalized symmetries. Among many others.
dc.description20 pages, no figures; Invited lecture presented at the 1st Conference on Lorentzian Geometry, "Benalmadena 2001"
dc.identifierhttps://arxiv.org/abs/math-ph/0202029
dc.identifierhttp://arxiv.org/abs/math-ph/0202029
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57001
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectDifferential Geometry
dc.subject53B30; 83C99
dc.titleSuperenergy tensors and their applications
dc.typetext

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