Communications in Mathematical Physics

, Volume 210, Issue 2, pp 275–308 | Cite as

Cosmology with a Shock-Wave

  • Joel Smoller
  • Blake Temple


We construct the simplest solution of the Einstein equations that incorporates a shock-wave into a standard Friedmann–Robertson–Walker metric whose equation of state accounts for the Hubble constant and the microwave background radiation temperature. This produces a new solution of the Einstein equations from which we are able to show that the distance from the shock-wave to the center of the explosion at present time is comparable to the Hubble distance. We are motivated by the idea that the expansion of the universe as measured by the Hubble constant might be accounted for by an event more similar to a classical explosion than by the well-accepted scenario of the Big Bang.


Radiation Microwave Einstein Equation Simple Solution Background Radiation 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2000

Authors and Affiliations

  • Joel Smoller
    • 1
  • Blake Temple
    • 2
  1. 1.Department of Mathematics, University of Michigan, Ann Arbor, MI 48109, USA.¶E-mail: smoller@umich.eduUS
  2. 2.Institute of Theoretical Dynamics (Mathematical Physics) and Department of Mathematics, UC-Davis, Davis, CA 95616, USA. E-mail: temple@math.ucdavi.eduUS

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