Linearized general relativity and the Lanczos potential
نویسنده
چکیده
Recently, there has been a revival of interest in the Lanczos potential of the Weyl conformal tensor. Previous work by Novello and Neto has been done with the linearized Lanczos potential as a model of a spin-2 field, which depends on a massless limit of the field. In this paper, we look at an action based on a massless potential, and show that it is classically equivalent to the linearized regime of general relativity, without reference to any limiting case.
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The Physical Interpretation of the Lanczos Tensor
The field equations of general relativity can be written as first order differential equations in the Weyl tensor, the Weyl tensor in turn can be written as a first order differential equation in a three index tensor called the Lanczos tensor. Similarly in electro-magnetic theory Maxwell’s equations can be written as first order differential equations in the field tensor Fab and this in can be ...
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