Does general relativity highlight necessary connections in nature?

The dynamics of general relativity is encoded in a set of ten differential equations, the so-called Einstein field equations. It is usually believed that Einstein's equations represent a physical law describing the coupling of spacetime with material fields. However, just six of these equations actu...

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Published in:Synthese Vol. 199; no. 1/2; pp. 4929 - 4952
Main Author: Vassallo, Antonio
Format: Article
Published: Springer Nature Dec2021
Subjects:
Online Access:View this record in EBSCOhost
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        10.1007/s11229-020-03009-z
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        au: Vassallo, Antonio
        affil: Faculty of Administration and Social Sciences, Warsaw University of Technology, Plac Politechniki 1, 00-661, Warsaw, Poland
      su:
        Einstein field equations
        General relativity (Physics)
        Differential equations
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          Einstein field equations
          General relativity (Physics)
          Differential equations
      keyword:
        Background independence
        Bianchi identities
        General relativity
        Humeanism
        Laws of nature
        Necessity
      ab: The dynamics of general relativity is encoded in a set of ten differential equations, the so-called Einstein field equations. It is usually believed that Einstein's equations represent a physical law describing the coupling of spacetime with material fields. However, just six of these equations actually describe the coupling mechanism: the remaining four represent a set of differential relations known as Bianchi identities. The paper discusses the physical role that the Bianchi identities play in general relativity, and investigates whether these identities—qua part of a physical law—highlight some kind of a posteriori necessity in a Kripkean sense. The inquiry shows that general relativistic physics has an interesting bearing on the debate about the metaphysics of the laws of nature.
      pubtype: Academic Journal
      doctype: Article
      src: R
    language: English
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