Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

General Relativity

  1. Jan 24, 2007 #1
    Is it accurate to claim that space-time curvature in general relativity means a curvature of a space-time with a Minkowski pseudo-metric?
     
  2. jcsd
  3. Jan 25, 2007 #2
    Locally, and with the right coodinates.
     
  4. Jan 25, 2007 #3

    pervect

    User Avatar
    Staff Emeritus
    Science Advisor

    That doesn't sound right.

    I'd suggest saying that SR is done with a Minkowskian metric, while GR has a more general space-time with a Lorentzian metric.

    The flat Minkowskian metric is a special case of the more general Lorentzian metric (whcih is not necessarily flat).

    A manifold with either a Lorentzian or Minkowskian metric is a pseudo-Riemannian manifold because the metric tensor is not positive definte (those pesky minus signs).
     
  5. Jan 25, 2007 #4
    Ok, that definition makes sense.

    Right, and so can we take a collection of local Lorentzian patches and form a curved space-time, which is thus as agreed upon also Lorentzian, and with maintaining a causal connection?

    In other words, is "bending" a space with a Lorentzian metric unproblematic in terms of extending the causal structures?
     
  6. Jan 25, 2007 #5
    Sorry!
    Wikipedia:
    A principal assumption of general relativity is that spacetime can be modeled as a Lorentzian manifold of signature (3,1).
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: General Relativity
  1. General relativity (Replies: 46)

  2. General relativity (Replies: 3)

  3. General relativity (Replies: 3)

  4. General Relativity (Replies: 6)

  5. General Relativity (Replies: 8)

Loading...