As my interests cover both relativistic astrophysics and general relativity, you will find some of my work archived at and some of it archived at . More general coverage is at . See also , and . Here are some more recent references:
Refereed Journal Papers
Sheref Nasereldin and Kayll Lake 2024, “Constructing maximal extensions of the Vaidya metric in Israel coordinates: II. The completeness of Israel coordinates”, |
Sheref Nasereldin and Kayll Lake 2023, “Constructing maximal extensions of the Vaidya metric in Israel coordinates: Integration of the field equations”, |
Yannick M. Bisson and Kayll Lake 2023, “Israel coordinates for all static spherically symmetric spacetimes with vanishing second Ricci invariant”, |
Kayll Lake 2017, "Revisiting the Darmois and Lichnerowicz junction conditions", , |
Kayll Lake and Thomas Zannias 2015, "On the global structure of Kerr-de Sitter spacetimes", |
Kayll Lake 2015, "Central density cusps in the Lemaître-Tolman solutions", |
Majd Abdelqader and Kayll Lake 2015, "An invariant characterization of the Kerr spacetime: Locating the horizon and measuring the mass and spin of rotating black holes using curvature invariants" [ Editors' Suggestion ] |
William Ballik and Kayll Lake 2013, "The Vector Volume and Black Holes" |
Majd Abdelqader and Kayll Lake 2013, "Visualizing Spacetime Curvature via Gradient Flows III: The Kerr metric and the transitional values of the spin parameter" |
Majd Abdelqader and Kayll Lake 2012, "Visualizing Spacetime Curvature via Gradient Flows II: An Example of the Construction of a Newtonian analogue" |
Kayll Lake 2012, "Visualizing spacetime curvature via gradient flows. I. Introduction" |
Philippe Landry, Majd Abdelqader and Kayll Lake 2012, "McVittie solution with a negative cosmological constant" |
Cédric Grenon and Kayll Lake 2011, "Generalized Swiss-cheese cosmologies II: Spherical Dust", |
Kayll Lake and Majd Abdelqader 2011, "More on McVittie's Legacy: A Schwarzschild - de Sitter black and white hole embedded in an asymptotically LCDM cosmology", |
Kayll Lake 2010, "Particle Accelerators inside Spinning Black Holes", |
Kayll Lake 2010, "Some notes on the Kruskal - Szekeres completion", |
Cédric Grenon and Kayll Lake 2010, "Generalized Swiss-cheese cosmologies: Mass scales", |
Kayll Lake 2009, "Generating static spherically symmetric anisotropic solutions of Einstein's equations from isotropic Newtonian solutions", |
Jonathan Loranger and Kayll Lake 2008, "Generating Static Fluid Spheres by Conformal Transformations", | ()
Cédric Grenon, Pascal J. Elahi and Kayll Lake 2008, "Transforming the Einstein static Universe into physically acceptable static fluid spheres II: A two - fold infinity of exact solutions", |
Kayll Lake 2008, "Transforming the Einstein static Universe into a physically acceptable static fluid sphere", , |
Kayll Lake 2008, "Scalar Polynomial Singularities in Power-Law Spacetimes", 1609-1617, |
Kayll Lake 2007, "Testing the LCDM model (and more) with the time evolution of the redshift ", |
Kayll Lake 2006, "Integration of the Friedmann equation for universes of arbitrary complexity", |
Kayll Lake 2006, "Maximally extended, explicit and regular coverings of the Schwarzschild-de Sitter vacua in arbitrary dimension", |
Kayll Lake 2006, "Static Ricci-flat 5-manifolds admitting the 2-sphere", | )
Kayll Lake 2005, "The flatness problem and Λ ", |
Steven Conboy and Kayll Lake 2005, "Smooth transitions from Schwarzschild vacuum to de Sitter space", |
Kayll Lake 2004, "Sudden future singularities in FLRW cosmologies", , |
Kayll Lake 2004, "Galactic Potentials", |
Kayll Lake 2004, "Differential Invariants of the Kerr Vacuum", 1159-1169 |
Piotr T. Chrusciel and Kayll Lake 2004, "Cauchy horizons in Gowdy space times", |
Kayll Lake 2004, "Non conducting spherically symmetric fluids", , |
Kayll Lake 2003, "An explicit global covering of the Schwarzschild-Tangherlini black holes", |
Mustapha Ishak and Kayll Lake 2003, "An inverse approach to Einstein's equations for non-conducting fluids", |
Kayll Lake 2003, "Invariants of the Kerr Vacuum", |
Kayll Lake 2003, "All static spherically symmetric perfect fluid solutions of Einstein's Equations", |
Kayll Lake 2002, "Lensing in Kottler space", |
Mustapha Ishak and Kayll Lake 2002, "An Online Interactive Geometric Database Including Exact Solutions of Einstein's Field Equations", |
Mustapha Ishak and Kayll Lake 2001, "Stability of Transparent Spherically Symmetric Thin Shells and Wormholes", |
Nicholas Neary, Mustapha Ishak and Kayll Lake 2001, "The Tolman VII solution, trapped null orbits and w - modes", |
Nicos Pelavas, Nicholas Neary and Kayll Lake 2001, "Properties of the instantaneous Ergo Surface of a Kerr Black Hole", |
Mustapha Ishak, Luke Chamandy, Nicholas Neary and Kayll Lake 2001, "Exact Solutions with w - modes", |
Nicos Pelavas and Kayll Lake 2000, "Measures of gravitational entropy: Self-similar spacetimes", |
Kayll Lake 2000, "Gravitational Collapse of Dust with a Cosmological Constant", |
M.S.R. Delgaty and Kayll Lake 1998, "Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations", |
Kevin Santosuosso, Denis Pollney, Nicos Pelavas, Peter Musgrave and Kayll Lake 1998, "Invariants of the Riemann tensor for Class B Warped Product Spacetimes", |
Peter Musgrave and Kayll Lake 1997, "Junctions and thin shells in general relativity using computer algebra: II. The null formalism", |
Denis Pollney, Peter Musgrave, Kevin Santosuosso and Kayll Lake 1996, "Algorithms for computer algebra calculations in spacetime I. The calculation of curvature", |
Peter Musgrave and Kayll Lake 1996, "Junctions and thin shells in general relativity using computer algebra: I. The Darmois-Israel formalism", |
Peter Musgrave and Kayll Lake 1995, "Differential invariants and regularity", [ Letter to the Editor ]
Stephen Leonard and Kayll Lake 1995, "The Tinsley Diagram Revisited", | (
Kayll Lake and Peter Musgrave 1994, "On the regularity of static spherically cylindrically and plane symmetric spacetimes at the origin", .
Peter Musgrave and Kayll Lake 1994, "Scalar invariants of the radiation Kerr-Newman metric - A simple application of GRTensor",