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Abstract |
In this talk I will discuss the expansion of general relativity in inverse powers of the speed of
light. This expansion can be truncated at any desired order and, when truncated at the next-
to-leading order, it can be used to derive an action principle for a diffeomorphism invariant
description of non-relativistic gravity. This describes Newtonian gravity as well as strong
gravity extensions thereof (e.g. due to time dilation effects). I will show how to couple such a
theory to matter (point particles, scalar fields and fluids) and use this to show that the
Tolman-Oppenheimer-Volkov star solution and the Friedmann equations can both be viewed
as solutions to the equations of motion of matter coupled non-relativistic gravity. By looking at
geodesics in a spherically symmetric background one can show that the phenomenon of
perihelion precession is also described by this theory. Time permitting I will end with some
comments about string and holographic extensions of these results. |
