Article View: sci.physics
Article #963Re: Calculus and trigonometry
From: Johan Wevers
Date: Mon, 10 Aug 1992 10:42
Date: Mon, 10 Aug 1992 10:42
33 lines
1886 bytes
1886 bytes
aa751@cleveland.Freenet.Edu (Fran Rosen) writes:
>
>I now have a conception of the difference between Euclidian and
>non-Euclidian geometry. What I am curious about is what Calculus
>and Trigonometry show or at least what their purpose is.
Non-Euclidean geometry is the basis of general relativity. GRT roughly
says that the curvature of space is proportional to the mass in it.
To be more precise: if we define the Riemann tensor as:
u u n
[\nabla ,\nabla ] T = R T ,
a b nab
n
And the Ricci tensor as the contraction: R =R ,
ab anb
1 8\pi K
The field equations of GRT read as: R - -g R = -------- T
ab 2 ab aa c^2 ab
in which T is the energy-momentum tensor.
>An arts and science major,
>Fran
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Path: arc1-ca.pugleaf.net!sparky!uunet!mcsun!sun4nl!tuegate.tue.nl!blade!johan From: johan@blade.stack.urc.tue.nl (Johan Wevers) Newsgroups: sci.physics Subject: Re: Calculus and trigonometry Message-ID: <5003@tuegate.tue.nl> Date: 10 Aug 92 10:42:31 GMT References: <1992Aug9.135659.22013@usenet.ins.cwru.edu> Sender: root@tuegate.tue.nl Organization: MCGV Stack, Eindhoven University of Technology, the Netherlands. Lines: 33