49 citations · 88 across the 4 of their papers we have counts for
7 papers
Invariant characterization of the Kerr spacetime: Locating the horizon and measuring the mass and spin of rotating black holes using curvature invariants
Majd Abdelqader, Kayll Lake
We provide an invariant characterization of the physical properties of the Kerr spacetime. We introduce two dimensionless invariants, constructed out of some known curvature invari…
Visualizing Spacetime Curvature via Gradient Flows III: The Kerr Metric and the Transitional Values of the Spin Parameter
Majd Abdelqader, Kayll Lake
The Kerr metric is one of the most important solutions to Einstein's field equations, describing the gravitational field outside a rotating black hole. We thoroughly analyze the cu…
The McVittie solution with a negative cosmological constant
Philippe Landry, Majd Abdelqader, Kayll Lake
Whereas current cosmological observations suggest that the universe is dominated by a positive cosmological constant (), the AdS/CFT correspondence tells us that the case $Λ<…
Visualizing Spacetime Curvature via Gradient Flows II: An Example of the Construction of a Newtonian analogue
Majd Abdelqader, Kayll Lake
This is the first in a series of papers in which the gradient flows of fundamental curvature invariants are used to formulate a visualization of curvature. We start with the constr…
More on McVittie's Legacy: A Schwarzschild - de Sitter black and white hole embedded in an asymptotically CDM cosmology
Kayll Lake, Majd Abdelqader
Recently Kaloper, Kleban and Martin reexamined the McVittie solution and argued, contrary to a very widely held belief, that the solution contains a black hole in an expanding univ…
The Cosmological Spacetime
Fulvio Melia, Majd Abdelqader
We present here the transformations required to recast the Robertson-Walker metric and Friedmann-Robertson-Walker equations in terms of observer-dependent coordinates for several c…