Universe (Oct 2020)

How Extra Symmetries Affect Solutions in General Relativity

  • Aroonkumar Beesham,
  • Fisokuhle Makhanya

DOI
https://doi.org/10.3390/universe6100170
Journal volume & issue
Vol. 6, no. 10
p. 170

Abstract

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To get exact solutions to Einstein’s field equations in general relativity, one has to impose some symmetry requirements. Otherwise, the equations are too difficult to solve. However, sometimes, the imposition of too much extra symmetry can cause the problem to become somewhat trivial. As a typical example to illustrate this, the effects of conharmonic flatness are studied and applied to Friedmann–Lemaitre–Robertson–Walker spacetime. Hence, we need to impose some symmetry to make the problem tractable, but not too much so as to make it too simple.

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