24 citations · 24 across the 1 of their papers we have counts for
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Frame dragging anomalies for rotating bodies
Peter Collas, David Klein
Examples of axially symmetric solutions to Einstein's field equations are given that exhibit anomalous "negative frame dragging" in the sense that zero angular momentum test partic…
A simple criterion for nonrotating reference frames
Peter Collas, David Klein
We prove a theorem that gives an easily verifiable necessary and sufficient condition for a reference frame with fixed spacelike coordinates to be nonrotating in the sense of Walke…
Causality violating geodesics in Bonnor's rotating dust metric
Peter Collas, David Klein
We exhibit timelike geodesic paths for a metric, introduced by Bonnor [11] and considered also by Steadman [13], and show that coordinate time runs backward along a portion of thes…
Timelike Killing Fields and Relativistic Statistical Mechanics
David Klein, Peter Collas
For spacetimes with timelike Killing fields, we introduce a "Fermi-Walker-Killing" coordinate system and use it to prove a Liouville Theorem for an appropriate volume element of ph…
General Transformation Formulas for Fermi-Walker Coordinates
David Klein, Peter Collas
We calculate the transformation and inverse transformation, in the form of Taylor expansions, from arbitrary coordinates to Fermi-Walker coordinates in tubular neighborhoods of arb…
A Statistical Mechanical Problem in Schwarzschild Spacetime
Peter Collas, David Klein
We use Fermi coordinates to calculate the canonical partition function for an ideal gas in a circular geodesic orbit in Schwarzschild spacetime. To test the validity of the results…