5 citations · 14 across the 6 of their papers we have counts for
6 papers
Cosmic cable
Colin MacLaurin
I investigate the relativistic mechanics of an extended "cable" in an arbitrary static, spherically symmetric spacetime. Such hypothetical bodies have been proposed as tests of ene…
Clarifying spatial distance measurement
Colin MacLaurin
We examine length measurement in curved spacetime, based on the 1+3-splitting of a local observer frame. This situates extended objects within spacetime, in terms of a given coordi…
Schwarzschild spacetime under generalised Gullstrand-Painlevé slicing
Colin MacLaurin
We investigate a foliation of Schwarzschild spacetime determined by observers freely falling in the radial direction. This is described using a generalisation of Gullstrand-Painlev…
Expanding space, redshifts, and rigidity: Conceptual issues in cosmology
Colin MacLaurin
I examine the interpretation of photon redshifts in curved spacetime, as being gravitational or Doppler in origin. In Friedmann-Lemaître-Robertson-Walker spacetime, redshifts betwe…
Quantum even-dimensional balls
Colin MacLaurin
The quantum even-dimensional balls are defined as the -algebras generated by certain graphs. We exhibit a polynomial algebra for each even-dimensional quantum ball, and classi…
Euler Characteristic in Odd Dimensions
Colin MacLaurin, Guyan Robertson
It is well known that the Euler characteristic of an odd dimensional compact manifold is zero. An Euler complex is a combinatorial analogue of a compact manifold. We present here a…