4 papers
Unit-Lapse Forms of Various Spacetimes
Joshua Baines
Every spacetime is defined by its metric, the mathematical object which further defines the spacetime curvature. From the relativity principle, we have the freedom to choose which…
Darboux diagonalization of the spatial 3-metric in Kerr spacetime
Joshua Baines, Thomas Berry, Alex Simpson +1
The astrophysical importance of the Kerr spacetime cannot be overstated. Of the currently known exact solutions to the Einstein field equations, the Kerr spacetime stands out in te…
Unit-lapse versions of the Kerr spacetime
Joshua Baines, Thomas Berry, Alex Simpson +1
The Kerr spacetime is perhaps the most astrophysically important of the currently known exact solutions to the Einstein field equations. Whenever spacetimes can be put in unit-laps…
Painleve-Gullstrand form of the Lense-Thirring spacetime
Joshua Baines, Thomas Berry, Alex Simpson +1
The standard Lense-Thirring metric is a century-old slow-rotation large-distance approximation to the gravitational field outside a rotating massive body, depending only on the tot…