Are there any good references out there for writing the equations of GR in matrix format? For example:(adsbygoogle = window.adsbygoogle || []).push({});

ds^2 = g_mn dx_m dx_n -> ds^2 = dx+ g dx

where the matrix version of g_mn (g) would be hermitian, dx+ is the conjugate...

covariant derivative:

Y_n||m = dY_n/dx_m - {n, km} Y_k -> Y||m = dY/dx_m - G_m Y

in matrix format:

dg/dx_m + G_m g + g G+_m = 0 is the vanishing covariant derivative of the metric.

This is just a different way to write the same mathematics. It seams it would be easier to work with, but I can't find any good references for it. Hasn't someone else done this already? I'm just looking for something that gives the original GR back, no new theories, just new notation...

**Physics Forums - The Fusion of Science and Community**

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!

# Matrix Formalism of GR

Loading...

Similar Threads - Matrix Formalism | Date |
---|---|

I Tetrad formalism outside of the equatorial plane | Nov 27, 2017 |

I Index gymnastics, matrix representations | Oct 6, 2017 |

I Transpose and Inverse of Lorentz Transform Matrix | Mar 13, 2017 |

I Index notation, covector transfor ( matrix representation) | Oct 27, 2016 |

I Relation between Poincare matrix and electromagnetic field t | Sep 22, 2016 |

**Physics Forums - The Fusion of Science and Community**