Newtonian gravitation in Maxwell spacetime.

This paper argues for the appropriateness of Maxwell spacetime as the minimal spacetime structure in which one may formulate a theory of Newtonian gravity. I begin by presenting an intrinsic characterization of Maxwell gravitation that, eschewing covariant derivative operators, makes use only of a s...

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Detalles Bibliográficos
Publicado en:Studies in History & Philosophy of Science Part A Vol. 102; pp. 22 - 31
Autor principal: Chen, Elliott D.
Formato: Artículo
Publicado: Elsevier B.V. Dec2023
Materias:
Acceso en línea:Ver este registro en EBSCOhost
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        affil: Xavier University, USA
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        Spacetime
        Degrees of freedom
        Gravity
        Gravitation
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          Spacetime
          Degrees of freedom
          Gravity
          Gravitation
      ab: This paper argues for the appropriateness of Maxwell spacetime as the minimal spacetime structure in which one may formulate a theory of Newtonian gravity. I begin by presenting an intrinsic characterization of Maxwell gravitation that, eschewing covariant derivative operators, makes use only of a standard of rotation and other more primitive structures. I then revisit the question of whether Maxwell gravitation and Newton-Cartan theory are equivalent, demonstrating that previous results may be extended to all but the vacuum case since candidate geometrizations are not free to vary through purely gravitational degrees of freedom. Lastly, I consider the space of possible geometrizations of Maxwell gravitation more broadly and argue for a sense in which curvature is not entirely a matter of convention in classical spacetimes.
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    language: English
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