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

Homework Help: Riemann space and relativity

  1. Aug 4, 2010 #1
    1. The problem statement, all variables and given/known data
    Hello ……..
    I have a question about a statement mentioned in the book “Introduction to tensor calculus and continuum mechanics” . it is :-
    071210080713bmt13ctomqx.jpg

    Where the space (Vn) is Riemann space . Is this statement really true ?


    2. Relevant equations



    3. The attempt at a solution
    … because - as I know – we can define a Non-Euclidean space (it isn’t flat) by this method , for example , we can do that in general theory of relativity .


    Please I need help ….


    Very thanks ……….
     
  2. jcsd
  3. Aug 4, 2010 #2

    George Jones

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    Can you gives an example of a spacetime in general relativity that has this form?
     
  4. Aug 4, 2010 #3

    HallsofIvy

    User Avatar
    Science Advisor

    Yes, that is really true.


    Can you give an example of a non-flat space in which the coeffients in the "first fundamental form", [itex]ds^2= \epsilon_i (dx^i)^2[/itex] are all either 1 or -1?


     
  5. Aug 5, 2010 #4
    thanks , when you said :- " are all either 1 or -1" , i understand .

    very thanks
     
Share this great discussion with others via Reddit, Google+, Twitter, or Facebook