39 citations
5 papers
The equivalence principle, uniformly accelerated reference frames, and the uniform gravitational field
Gerardo Munoz, Preston Jones
The relationship between uniformly accelerated reference frames in flat spacetime and the uniform gravitational field is examined in a relativistic context. It is shown that, contr…
The general relativistic infinite plane
Preston Jones, Gerardo Munoz, Michael Ragsdale +1
Uniform fields are one of the simplest and most pedagogically useful examples in introductory courses on electrostatics or Newtonian gravity. In general relativity there have been…
The structure of the semigroup of proper holomorphic mappings of a planar domain to the unit disc
Steven R. Bell, Faisal Kaleem
Given a bounded n-connected domain in the plane bounded by non-intersecting Jordan curves, and given one point on each boundary curve, L. Bieberbach proved that there exists a prop…
Minimal free resolutions and asymptotic behavior of multigraded regularity
Huy Tai Ha, Brent Strunk
Let S be a standard N^k-graded polynomial ring over a field. Let I be a multigraded homogeneous ideal in S and let M be a finitely generated Z^k-graded S-module. We prove that the…
Temporal variations in space-time and progenitors of gamma ray burst and millisecond pulsars
Preston Jones
A time varying space-time metric is shown to be a source of electromagnetic radiation. The post-Newtonian approximation is used as a realistic model of the connection between the s…