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Conservation, Inertia, and Spacetime Geometry

Weatherall, James Owen (2017) Conservation, Inertia, and Spacetime Geometry. [Preprint]

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Abstract

As Harvey Brown emphasizes in his book Physical Relativity, inertial motion in general relativity is best understood as a theorem, and not a postulate. Here I discuss the status of the "conservation condition", which states that the energy-momentum tensor associated with non-interacting matter is covariantly divergence-free, in connection with such theorems. I argue that the conservation condition is best understood as a consequence of the differential equations governing the evolution of matter in general relativity and many other theories. I conclude by discussing what it means to posit a certain spacetime geometry and the relationship between that geometry and the dynamical properties of matter.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Weatherall, James Owenweatherj@uci.edu2016-08-26
Keywords: Harvey Brown Physical Relativity general relativity Newton-Cartan theory TeVes Unimodular gravity puzzleball view
Subjects: Specific Sciences > Physics > Cosmology
Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics > Relativity Theory
General Issues > Structure of Theories
Depositing User: James Owen Weatherall
Date Deposited: 16 Aug 2017 14:45
Last Modified: 16 Aug 2017 14:45
Item ID: 13330
Subjects: Specific Sciences > Physics > Cosmology
Specific Sciences > Physics > Fields and Particles
Specific Sciences > Physics > Relativity Theory
General Issues > Structure of Theories
Date: 2017
URI: https://philsci-archive-dev.library.pitt.edu/id/eprint/13330

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