1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
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