Geodesic solver

Program uses metric tensor as input and generates geodesic equations in 4 d space time as output

Description

The program is an ordinary m-file
the matrix g(*,*) can be used to punch in the metric values in terms of symbolic variables x1,x2,x3,x4(co-ordinate axes)
The program first computes the Affine connection(Christoffel symbols) stored in Gamma matrices
These are then used to construct and solve
geodesic equations
The final solution is in a variable called 'Paths' which usually turns up to be a cell array
the default formulation of g is set to 3-d Cartesian space.
I ve tested it for space on the surface of a 2-sphere (2-dimensional) as well
Constants of integration are however not found by the program (have to be done manually later)
Produces implicit solutions only
Will be upgrading and posting soon

• Required Products: Symbolic Math Toolbox
• MATLAB release: MATLAB 7 (R14)
• Other requirements: Tested on Windows XP For 4-dimensions and verycomplex metrics the program can get heavy

[Athanasios Makris]

I assume that the program is written mainly for educational purposes.
From this point of view it is well written, while it is really easy to follow.
(Especially the calculation of Christofell's symbols).

A source of potential misunderstanding in the program is the variable r.
It is used in the beginning of the program as a symbolic variable and later as a numeric one.

[khellaf yasmina]

hello, it does not work, but that of "geodesic solv" is wonderful
 thank you,
 I want to change the parameters, for example, to find the geodesic equations of a sphere or a torus, or Monkey Saddle .... but I can not
 in any case, thank you very much for the release of "geodesic solv"
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