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Would Two Dimensions be World Enough for Spacetime?

Fletcher, Samuel C. and Manchak, John Byron and Schneider, Mike D. and Weatherall, James Owen (2017) Would Two Dimensions be World Enough for Spacetime? [Preprint]

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Abstract

We consider various curious features of general relativity, and relativistic field theory, in two spacetime dimensions. In particular, we discuss: the vanishing of the Einstein tensor; the failure of an initial-value formulation for vacuum spacetimes; the status of singularity theorems; the non-existence of a Newtonian limit; the status of the cosmological constant; and the character of matter fields, including perfect fluids and electromagnetic fields. We conclude with a discussion of what constrains our understanding of physics in different dimensions.

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Item Type: Preprint
Creators:
CreatorsEmailORCID
Fletcher, Samuel C.scfletch@umn.edu
Manchak, John Byronjmanchak@uci.edu
Schneider, Mike D.mdschnei@uci.edu
Weatherall, James Owenweatherj@uci.edu0000-0003-1461-7821
Keywords: General relativity; two-dimensional gravity; Newtonian limit; initial value formulation
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Relativity Theory
Depositing User: James Owen Weatherall
Date Deposited: 21 Sep 2017 18:55
Last Modified: 21 Sep 2017 18:55
Item ID: 13462
Subjects: Specific Sciences > Physics
Specific Sciences > Physics > Relativity Theory
Date: 2017
URI: https://philsci-archive.pitt.edu/id/eprint/13462

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