2013Unpublished venueRequires access

An heuristic review of Lanczos potential

César Mora, Rubén Sánchez Sánchez

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Abstract

We present a review of 3-tensor potential Labc proposed by Lanczos for the Weyl conformal curvature tensor. We show the role that plays Lanczos tensor in General Relativity for theoretical physics postgraduate students. In the same way that the electromagnetic vector potential can be used to compute the Maxwell field, the Lanczos potential can also be mployed to compute the Weyl curvature tensor of a gravitational field. e

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What this paper is about

We present a review of 3-tensor potential Labc proposed by Lanczos for the Weyl conformal curvature tensor. We show the role that plays Lanczos tensor in General Relativity for theoretical physics postgraduate students. In the same way that the electromagnetic vector potential can be used to compute the Maxwell field, the Lanczos potential can also be mployed to compute the Weyl curvature tensor of a gravitational field. e

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Available abstract

We present a review of 3-tensor potential Labc proposed by Lanczos for the Weyl conformal curvature tensor. We show the role that plays Lanczos tensor in General Relativity for theoretical physics postgraduate students. In the same way that the electromagnetic vector potential can be used to compute the Maxwell field, the Lanczos potential can also be mployed to compute the Weyl curvature tensor of a gravitational field. e

Key concepts: Lanczos tensor, Lanczos resampling, Weyl tensor, Tensor calculus, General relativity, Curvature, Tensor field, Tensor (intrinsic definition)

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