Publications

As my interests cover both relativistic astrophysics and general relativity, you will find some of my work archived at ADS and some of it archived at inSPIRE. More general coverage is at Web of Science. See also arxiv.org, MathSciNet and PROLA. 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”, Phys. Rev. D 109, 024063 (2024) | arXiv:2312.05950

Sheref Nasereldin and Kayll Lake 2023, “Constructing maximal extensions of the Vaidya metric in Israel coordinates: Integration of the field equations”, Phys. Rev. D 108, 124064 (2023) | arXiv:2307.06139

Yannick M. Bisson and Kayll Lake 2023, “Israel coordinates for all static spherically symmetric spacetimes with vanishing second Ricci invariant”, Phys. Rev. D 108, 104017 (2023) | arXiv:2302.05391

Kayll Lake 2017, "Revisiting the Darmois and Lichnerowicz junction conditions", Gen Relativ Gravit 49 134, | arXiv:1705.01090

Kayll Lake and Thomas Zannias 2015, "On the global structure of Kerr-de Sitter spacetimes", Phys. Rev. D 92, 084003 (2015) | arXiv:1507.08984

Kayll Lake 2015, "Central density cusps in the Lemaître-Tolman solutions", Phys. Rev. D 91, 124036 (2015) | arXiv:1411.7326

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 ] Phys. Rev. D 91, 084017 (2015) | arXiv:1412.8757

William Ballik and Kayll Lake 2013, "The Vector Volume and Black Holes" Phys. Rev. D 88, 104038 (2013) | arXiv:1310.1935

Majd Abdelqader and Kayll Lake 2013, "Visualizing Spacetime Curvature via Gradient Flows III: The Kerr metric and the transitional values of the spin parameter" Phys. Rev. D 88, 064042 (2013) | arXiv:1308.1433

Majd Abdelqader and Kayll Lake 2012, "Visualizing Spacetime Curvature via Gradient Flows II: An Example of the Construction of a Newtonian analogue" Phys. Rev. D 86, 124037 (2012) | arXiv:1207.5496

Kayll Lake 2012, "Visualizing spacetime curvature via gradient flows. I. Introduction" Phys. Rev. D 86, 104031 (2012) | arXiv:1207.5493

Philippe Landry, Majd Abdelqader and Kayll Lake 2012, "McVittie solution with a negative cosmological constant" Phys. Rev. D 86, 084002 (2012) | arXiv:1207.6350

Cédric Grenon and Kayll Lake 2011, "Generalized Swiss-cheese cosmologies II: Spherical Dust", Phys. Rev. D 84, 083506 (2011) | arXiv:1108.6320

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", Phys. Rev. D 84, 044045 (2011) | gr-qc1106.3666

Kayll Lake 2010, "Particle Accelerators inside Spinning Black Holes", Physical Review Letters 104 211102 | gr-qc/1001.5463

Kayll Lake 2010, "Some notes on the Kruskal - Szekeres completion", Class. Quantum Grav. 27 097001 | gr-qc/1002.3600

Cédric Grenon and Kayll Lake 2010, "Generalized Swiss-cheese cosmologies: Mass scales", Phys. Rev. D 81, 023501 (2010) | arXiv:0910.0241

Kayll Lake 2009, "Generating static spherically symmetric anisotropic solutions of Einstein's equations from isotropic Newtonian solutions", Phys. Rev. D 80, 064039 (2009) | arXiv:0905.3546

Jonathan Loranger and Kayll Lake 2008, "Generating Static Fluid Spheres by Conformal Transformations", Phys. Rev. D 78, 127501 (2008) | (arXiv:0808.3515 )

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", Phys. Rev. D 78, 044028 (2008) | arXiv:0805.3329v2

Kayll Lake 2008, "Transforming the Einstein static Universe into a physically acceptable static fluid sphere", Phys. Rev. D 77, 127502 (2008), | arXiv:0804.3092v2

Kayll Lake 2008, "Scalar Polynomial Singularities in Power-Law Spacetimes", G R G 40 (2008) 1609-1617, | arXiv:gr-qc/0702112

Kayll Lake 2007, "Testing the LCDM model (and more) with the time evolution of the redshift ", Phys. Rev. D 76, 063508 (2007) | astro-ph/0703810

Kayll Lake 2006, "Integration of the Friedmann equation for universes of arbitrary complexity", Phys. Rev. D 74, 123505 (2006) | gr-qc/0603028

Kayll Lake 2006, "Maximally extended, explicit and regular coverings of the Schwarzschild-de Sitter vacua in arbitrary dimension", Class. Quantum Grav. 23 5883-5895 | gr-qc/0507031

Kayll Lake 2006, "Static Ricci-flat 5-manifolds admitting the 2-sphere", Class. Quantum Grav. 23 5871-5881 | gr-qc/0606005)

Kayll Lake 2005, "The flatness problem and Λ ", Physical Review Letters 94, 201102 (2005)  | astro-ph/0404319

Steven Conboy and Kayll Lake 2005, "Smooth transitions from Schwarzschild vacuum to de Sitter space", Phys. Rev. D 71, 124017 (2005) | gr-qc/0504036

Kayll Lake 2004, "Sudden future singularities in FLRW cosmologies", Class. Quantum Grav. 21 L129-L132, | gr-qc/0407107

Kayll Lake 2004, "Galactic Potentials", Physical Review Letters 92, 051101 (2004)gr-qc/0302067

Kayll Lake 2004, "Differential Invariants of the Kerr Vacuum", G R G 36 (2004) 1159-1169 | gr-qc/0308038

Piotr T. Chrusciel and Kayll Lake 2004, "Cauchy horizons in Gowdy space times", Class. Quantum Grav. 21 S153-S169 | gr-qc/0307088

Kayll Lake 2004, "Non conducting spherically symmetric fluids", G R G 36 (2004) 193-197, | gr-qc/0209063

Kayll Lake 2003, "An explicit global covering of the Schwarzschild-Tangherlini black holes", J. Cosmol. Astropart. Phys. JCAP 10 (2003) 007 | gr-qc/0306073

Mustapha Ishak and Kayll Lake 2003, "An inverse approach to Einstein's equations for non-conducting fluids", Phys. Rev. D 68, 104031 | gr-qc/0304065

Kayll Lake 2003, "Invariants of the Kerr Vacuum", G R G 35 (2003) 2271-2277 | gr-qc/0302087

Kayll Lake 2003, "All static spherically symmetric perfect fluid solutions of Einstein's Equations", Phys. Rev. D 67 104015 | gr-qc/0209104

Kayll Lake 2002, "Lensing in Kottler space", Phys. Rev. D 65, 087301 | gr-qc/0103057

Mustapha Ishak and Kayll Lake 2002, "An Online Interactive Geometric Database Including Exact Solutions of Einstein's Field Equations", Class. Quantum Grav. 19, 505-514 | gr-qc/0111008

Mustapha Ishak and Kayll Lake 2001, "Stability of Transparent Spherically Symmetric Thin Shells and Wormholes", Phys. Rev. D 65, 044011 | gr-qc/0108058

Nicholas Neary, Mustapha Ishak and Kayll Lake 2001, "The Tolman VII solution, trapped null orbits and w - modes", Physical Review D 64 084001 | gr-qc/0104002

Nicos Pelavas, Nicholas Neary and Kayll Lake 2001, "Properties of the instantaneous Ergo Surface of a Kerr Black Hole", Class.Quant.Grav. 18 1319 | gr-qc/0012052

Mustapha Ishak, Luke Chamandy, Nicholas Neary and Kayll Lake 2001, "Exact Solutions with w - modes", Physical Review D 64 024005 | gr-qc/0007073

Nicos Pelavas and Kayll Lake 2000, "Measures of gravitational entropy: Self-similar spacetimes", Physical Review D 62 (044009) | gr-qc/9811085

Kayll Lake 2000, "Gravitational Collapse of Dust with a Cosmological Constant", Physical Review D 62 (027301) | gr-qc/0002044

M.S.R. Delgaty and Kayll Lake 1998, "Physical Acceptability of Isolated, Static, Spherically Symmetric, Perfect Fluid Solutions of Einstein's Equations", Computer Physics Communications 115, 395-415 | gr-qc/9809013

Kevin Santosuosso, Denis Pollney, Nicos Pelavas, Peter Musgrave and Kayll Lake 1998, "Invariants of the Riemann tensor for Class B Warped Product Spacetimes", Computer Physics Communications 115, 381-394 | gr-qc/9809012

Peter Musgrave and Kayll Lake 1997, "Junctions and thin shells in general relativity using computer algebra: II. The null formalism", Class. Quantum Grav. 14, 1285-1294 | gr-qc/9510052

Denis Pollney, Peter Musgrave, Kevin Santosuosso and Kayll Lake 1996, "Algorithms for computer algebra calculations in spacetime I. The calculation of curvature", Class. Quantum Grav. 13, 2289-2309 | gr-qc/9601036

Peter Musgrave and Kayll Lake 1996, "Junctions and thin shells in general relativity using computer algebra: I. The Darmois-Israel formalism", Class. Quantum Grav. 13, 1885-1899 | gr-qc/9510052

Peter Musgrave and Kayll Lake 1995, "Differential invariants and regularity", [ Letter to the Editor ] Class. Quantum Grav. 12, L39-L41

Stephen Leonard and Kayll Lake 1995, "The Tinsley Diagram Revisited", Astrophysical Journal Letters, 441, L55-L56 | (astro-ph/9501023

Kayll Lake and Peter Musgrave 1994, "On the regularity of static spherically cylindrically and plane symmetric spacetimes at the origin", General Relativity and Gravitation 29, 917-925.

Peter Musgrave and Kayll Lake 1994, "Scalar invariants of the radiation Kerr-Newman metric - A simple application of GRTensor", Computers in Physics 8, 589-599