Pervect has https://www.physicsforums.com/showpost.php?p=1046874&postcount=17" for radial and tangential gravitational accelerations of a moving particle in Schwarzschild coordinates.(adsbygoogle = window.adsbygoogle || []).push({});

[tex]

\frac{d^2 r}{d t^2} = \frac {3 m{{\it v_r}}^{2}}{ \left( r-2\,m \right) r} + \left( r-2\,m \right) \left( {{\it v_\phi}}^{2}-{\frac {m}{{r}^{3}}} \right)

[/tex]

[tex]

\frac{d^2\phi}{d t^2} = -\frac {2 {\it v_r}\,{\it v_\phi}\, \left( r -3\,m \right) }{ \left( r-2\,m \right) r}

[/tex]

where [itex]v_r =dr/dt[/itex], [itex]v_\phi = d\phi/dt[/itex], [itex]m[/itex] the mass of the primary and [itex]r,\phi[/itex] the Schwarzschild coordinate parameters.

Does anyone know of an equivalent set of equations for the Kerr metric, at least for movement along the equator of a rotating black hole?

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

Dismiss Notice

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!

# Accelerations in Kerr Metric

Loading...

Similar Threads - Accelerations Kerr Metric | Date |
---|---|

I Do rotating singularities experience radial acceleration? | Sunday at 5:46 PM |

I Any theoretical limit on acceleration? | Mar 15, 2018 |

B Gravity and Acceleration | Mar 7, 2018 |

B Kerr black holes | Jan 10, 2018 |

I The rising railway coach | Oct 26, 2017 |

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