Consider a model in which we let a body fall (radially) into a star, being the simplest example of the schwarzschild solution, in which the angular parts of the solution may be ignored, so that we consider:(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

ds^2 = -(1- GM/r) dt^2 + (1- GM/r)^{-1}dr^2.

[/tex]

I have been told that this may be adapted to a Lagrangian of form:

[tex]

L(r, \dot{r}) = -(1- GM/r) (\frac{dt}{d\lambda})^2 + (1- GM/r)^{-1}(\frac{dr}{d\lambda})^2,

[/tex]

and then solved to find a general time for a body to 'fall' from rest, from a general distance R. How, I don't know (...I love supervisors).

I now have 13 books out upon general relativity, and am royally stuck. It is important that a solution avoids tensor calculus- i am aware that this is possible.

Any help with this would be incredibly appreciated.

Regards

Romeo.

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Urgent Help required- schwarzschild solution

Loading...

Similar Threads for Urgent Help required |
---|

I Can anyone help me understand the Equivalence Principle |

A Singularity test- why is a scalar quantity required |

I Help with special relativity mathematics |

I Help with understanding time dilation |

**Physics Forums | Science Articles, Homework Help, Discussion**