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Gravity in Finsler Spaces

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Finslerian Geometries

Part of the book series: Fundamental Theories of Physics ((FTPH,volume 109))

Abstract

It is well known how crucial computer algebra has been in the development of General Relativity and its applications, and conversely, how important General Relativity and tensorial calculus have been to motivate and direct development of computer algebra packages. Given the complexity of Riemannian geometry, curved spaces and tensorial calculus it took strong motivation, either theoretical or experimental to try and apply them to an even more generalized framework, like the theories of relativity1. Regarding observations, General Relativity and its Riemannian model for space-time surprised the scientific community of the time when it accurately predicted the advance of the perihelium of Mercury, an age-old problem of Newtonian theory, which could never be precisely dealt with in an Euclidean context. Also, its prediction for the bending of light in the gravitational field, later confirmed observationally, definitively settled the acceptance of the new theory, and seemed to have established a new paradigm for the geometry of the physical space.

At one time [16] the attempt to formulate an unifying theory for gravity and electromagnetism led to unsuccessful attempts at Finsler [13] and other generalized geometrical modelling of natural phenomena.

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Authors
  1. Solange F. Rutz
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  2. Filipe M. Paiva
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Editor information

Editors and Affiliations

  1. Department of Mathematical Sciences, University of Alberta, Edmonton, Alberta, Canada

    P. L. Antonelli

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Rutz, S.F., Paiva, F.M. (2000). Gravity in Finsler Spaces. In: Antonelli, P.L. (eds) Finslerian Geometries. Fundamental Theories of Physics, vol 109. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-4235-9_19

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  • DOI: https://doi.org/10.1007/978-94-011-4235-9_19

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-5838-4

  • Online ISBN: 978-94-011-4235-9

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