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What is the Unit of the Metric Tensor?

  1. May 27, 2004 #1
    If the cosmological constant, [itex] \Lambda[/itex] has units of reciprocal time squared then what is the unit for the metric tensor, [itex]g_{ij}[/itex]?
     
  2. jcsd
  3. May 27, 2004 #2
    It has no units. A metric tensor in any coordinate can have no units, just look at how the components of a diagonal metric tensor fits into the distance formula, if it had units the units on the left would not match the units on teh right.
     
  4. May 28, 2004 #3
    franznietzsche,

    Thanks. But I'm still not clear why the righthand side of Einstein's field equations, the momentum-energy tensor has components of different units (units in pressures, and units in densities).
     
  5. May 29, 2004 #4
    Here is an excellent GR tutorial:

    http://math.ucr.edu/home/baez/gr/outline2.html

     
  6. May 29, 2004 #5
    Russell,

    Thanks. Will start studying this GR tutorial.
     
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