# Bulletin of the American Physical Society

# APS April Meeting 2011

## Volume 56, Number 4

## Saturday–Tuesday, April 30–May 3 2011; Anaheim, California

### Session K1: Poster Session II (2:00-5:00PM)

2:00 PM,
Sunday, May 1, 2011

Room: Imperial/Regal Rooms

Sponsoring Unit:
APS

Abstract ID: BAPS.2011.APR.K1.25

### Abstract: K1.00025 : Particle acceleration for a stationary observer in Schwartzschild spacetime

Preview Abstract Abstract

#### Author:

David Snead

(Saguarosoft)

We explore the acceleration of a massive particle in free fall in a stationary observer' s proper reference frame in the gravitational field of a spherical body. Comparisons of the results are made between Newtonian theory and General Relativity. It is seen that the acceleration has a velocity dependence in GR which only approaches the Newtonian value as the particle speed approaches 0 (and the particle is well outside the gravitational\ radius of the gravitating body). The GR result shows a critical vertical velocity at c/$\sqrt{2}$ where the vertical acceleration goes to 0. The GR result is found to be $a_x=\frac{2 M v_x v_z}{r ^2\sqrt{1-\frac{2 M}{r}}},\ a_y=\frac {2 M v_y v_z}{r ^2\sqrt{1-\frac{2 M}{r}}},\ a_z=-\frac{M \left (1-2 v_z^2\right)}{r ^2\sqrt{1-\frac{2 M}{r}}}$ which compares with the Newtonian result of $a_x=0,\ a_y=0,\ a_z=-\frac{M }{r ^2}$ (in units where c=1, G=1).

To cite this abstract, use the following reference: http://meetings.aps.org/link/BAPS.2011.APR.K1.25

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