Charles Hellaby

My Publications

Books - published or in process

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Structures in the Universe by Exact Methods - Formation, Evolution, Interactions K. Bolejko, A. Krasiński, C. Hellaby and M-N. Célérier Cambridge University Press, November 2009, ISBN 978-0-521-76914-3 Publisher's web page

 

 

 

 

 

 

 

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Journal Papers - published or in process

Ricci time in the Lemaitre–Tolman model and the block universe
Y. Elmahalawy , C. Hellaby, G.F.R. Ellis           arXiv:1501.01850 [gr-qc]
General Relativity and Gravitation 2015, 47, 113 (2015);           GRG-OL Article

Constructing Realistic Szekeres Models from Initial and Final Data
A. Walters and C. Hellaby           arXiv:1211.2110 [gr-qc]
Journal of Cosmology and Astroparticle Physics 2012, 12, 001 (2012);           JCAP12(2012)001

A New Type of Exact Arbitrarily Inhomogeneous Cosmology: Evolution of Deceleration in the Flat Homogeneous-on-Average Case
C. Hellaby           arXiv:1102.3370 [astro-ph]
Journal of Cosmology and Astroparticle Physics 2012, 01, 043 (2012);           JCAP01(2012)043

The Metric of the Cosmos from Luminosity and Age Data
K. Bolejko, C. Hellaby and A.H.A. Alfedeel           arXiv:1102.3370 [astro-ph]
Journal of Cosmology and Astroparticle Physics 2011, 09, 011 (2011);           JCAP09(2011)011

Imitating Accelerated Expansion of the Universe by Matter Inhomogeneities - Corrections of Some Misunderstandings
A. Krasiński, C. Hellaby, M-N. Célérier and K. Bolejko           arXiv:0903.4070 [gr-qc]
General Relativity and Gravitation 42, 2453-75 (2010);           GRG-OL Article

The Lemaitre Model and the Generalisation of the Cosmic Mass
A.H.A. Alfedeel and C. Hellaby           arXiv:0906.2343v4 [gr-qc]
General Relativity and Gravitation 42, 1935-52 (2010);           GRG-OL Article

Solving the Observer Metric
C. Hellaby and A.H.A. Alfedeel           arXiv:0811.1676 [gr-qc]
Physical Review D, 79, 043501, 1-10 (2009);           PRD-OL Article # 043501.

Determining the Metric of the Cosmos: Stability, Accuracy, and Consistency
M.L. McClure & C. Hellaby           arXiv:0709.0875 [gr-qc]
Physical Review D, 78, 044005, 1-17 (2008);           PRD-OL Article # 044005.

Physical and Geometrical Interpretation of the ε ≤ 0 Szekeres Models
C. Hellaby & A. Krasiński           arXiv:0710.2171 [gr-qc]
Physical Review D, 77, 023529, 1-26 (2008);           PRD-OL Article # 023529.

The Great Attractor and the Shapley Concentration
K. Bolejko and C. Hellaby           astro-ph/0604402
General Relativity and Gravitation 40, 1771-90 (2008);           GRG-OL Article

Obtaining the Spacetime Metric from Cosmological Observations
T.H-C. Lu and C. Hellaby           arXiv:0705.1060 [gr-qc]
Classical and Quantum Gravity 24, 4107-31 (2007);           CQG-OL Article.

The Mass of the Cosmos
C. Hellaby           astro-ph/0603637
Monthly Notices of the Royal Astronomical Society 370, 239-244 (2006);           MNRAS-OL Article.

Alternative Methods of Describing Structure Formation in the Lemaitre-Tolman Model
C. Hellaby & A. Krasiński           gr-qc/0510093
Physical Review D, 73, 023518, 1-12 (2006);           PRD-OL Article # 023518.

Formation of Voids in the Universe within the Lemaitre-Tolman Model
K. Bolejko, A. Krasiński & C. Hellaby           gr-qc/0411126
Monthly Notices of the Royal Astronomical Society 362, 213-228 (2005);           MNRAS-OL Article.

Formation of a Galaxy with a Central Black Hole in the Lemaitre-Tolman Model
A. Krasiński & C. Hellaby           gr-qc/0309119
Physical Review D, 69, 043502, 1-19 (2004);           PRD-OL Article # 043502.

More Examples of Structure Formation in the Lemaitre-Tolman Model
A. Krasiński & C. Hellaby           gr-qc/0303016
Physical Review D, 69, 023502, 1-26 (2004);           PRD-OL Article # 023502.

Book Review: Cosmological Crossroads. An Advanced Course in Mathematical, Physical and String Cosmology.
Editors S. Cotsakis and L. Papantonopoulos
C. Hellaby
General Relativity and Gravitation 35, 2071-2074 (2003);           GRG-OL Article

You Can't Get Through Szekeres Wormholes:  Regularity, Topology and Causality in Quasi-Spherical Szekeres Models
C. Hellaby & A. Krasiński           gr-qc/0206052
Physical Review D, 66, 084011, 1-27 (2002);           PRD-OL Article # 084011.

Structure Formation in the Lemaitre-Tolman Model
A. Krasiński & C. Hellaby           gr-qc/0106096
Physical Review D, 65, 023501, 1-15 (2002);           PRD-OL Article # 023501.

Note on Signature Change and Colombeau Theory
T. Dray, G.F.R. Ellis & C. Hellaby           gr-qc/0012047
General Relativity and Gravitation 33, 1041-1046 (2001);           GRG-OL Article

Multicolour Observations, Inhomogeneity & Evolution
C. Hellaby           astro-ph/0010641
Astronomy & Astrophysics, 372, 357-363 (2001);           A&A-OL Article.

Clumps into Voids
N. Mustapha & C. Hellaby           astro-ph/0006083
General Relativity and Gravitation 33, 455-77 (2001);           GRG-OL Article

The Distortion of the Area Distance-Redshift Relation in Inhomogeneous Isotropic Universes
N. Mustapha, B.A.C.C. Bassett, C. Hellaby & G.F.R. Ellis           gr-qc/9708043
Classical and Quantum Gravity 15, 2363-79, (1998);           CQG-OL Article.

Large Scale Inhomogeneity Versus Source Evolution - Can We Distinguish Them Observationally?
N. Mustapha, C. Hellaby & G.F.R. Ellis           gr-qc/9808079
Monthly Notices of the Royal Astronomical Society 292, 817-30, (1997);           ADS: Full Article.

Classical Signature Change in the Black Hole Topology
C. Hellaby, A. Sumeruk & G.F.R. Ellis           gr-qc/9907042           BHSigChgNew.pdf
International Journal of Modern Physics D 6, 211-38, (1997).           IJMPD-OL.

Gravity and Signature Change
T. Dray, G.F.R. Ellis, C. Hellaby & C.A. Manogue           gr-qc/9610063
General Relativity and Gravitation 29, 591-7 (1997);           GRG-OL Article

Comment on `Smooth and Discontinuous Signature Type Change in General Relativity'
T. Dray & C. Hellaby           gr-qc/9610062
General Relativity and Gravitation 28, 1401-8, (1996).           GRG-OL Article
[Original M. Kossowski & M. Kriele paper:
    Class. Q. Grav. 10, 2363 (1993);           CQG-OL Article. ]
[M. Kriele's reply to our comment:
    Gen. Rel. Grav. 28, 1409-13 (1996). ]

The Null and KS Limits of the Szekeres Metric
C. Hellaby
Classical and Quantum Gravity 13, 2537-46, (1996);           CQG-OL Article.
[W.B. Bonnor's review:
    Mathematical Reviews 97 g 83 026 (July 1997, p 4592).]

The Non-Simultaneous Nature of the Schwarzschild R=0 Singularity
C. Hellaby
Journal of Mathematical Physics 37, 2892-905, (1996);           JMP-OL Article.

Reply Comment: Comparison of Approaches to Classical Signature Change
C. Hellaby & T. Dray           gr-qc/9601040
Physical Review D 52, 7333-9, (1995);           PROLArchive version.
[S. Hayward's comment on the "Failure of Standard Conservation Laws" paper (below):
   Phys. Rev. D 52, 7331-2 (1995);           PROLArchive version. ]

The Patchwork Divergence Theorem
T. Dray & C. Hellaby           gr-qc/9404002
Journal of Mathematical Physics 35, 5922-9, (1994);           JMP-OL Article.

On the Vaidya Limit of the Tolman Model
C. Hellaby           gr-qc/9907074
Physical Review D 49, 6484-88, (1994);           PROLArchive version.

Failure of Standard Conservation Laws at a Classical Change of Signature
C. Hellaby & T. Dray           gr-qc/9404001
Physical Review D 49, 5096-5104, (1994);           PROLArchive version.

Correction to Geometric Extension through Schwarzschild r = 0
D. Lynden-Bell, J. Katz & C. Hellaby
Monthly Notices of the Royal Astronomical Society 262, 325-6, (1993).           ADS: Full article.
[D. Lynden-Bell & J. Katz's original:
    Mon. Not. Roy. Astron. Soc. 247, 651-61 (1990).]

Change of Signature in Classical Relativity
G.F.R. Ellis, A. Sumeruk, D. Coule & C. Hellaby
Classical and Quantum Gravity 9, 1535-54, (1992);           CQG-OL Article.

The Gravitational Interaction of Conical Strings     ("When Strings Collide")
C. Hellaby           GICS.pdf
General Relativity and Gravitation 23, 767-799, (1991).           GRG-OL Article
Preprint 89/6, Department of Applied Mathematics, University of Cape Town, 1989

Density Waves in Cosmology
G.F.R. Ellis, C. Hellaby & D.R. Matravers
Astrophysical Journal 364, 400-404, (1990).           ADS: Full article.

Particle Motion in the Spherically Symmetric Vacuum Solution with Positive Cosmological Constant
M.J. Jaklitsch, C. Hellaby & D.R. Matravers
General Relativity and Gravitation 21, 941-51, (1989).           GRG-OL Article
Preprint 88/6, Department of Applied Mathematics, University of Cape Town, 1988

Volume Matching in Tolman Models
C. Hellaby
General Relativity and Gravitation 20, 1203-17, (1988).           GRG-OL Article

A Kruskal-Like Model with Finite Density
C. Hellaby           KLMwFD.pdf
Classical and Quantum Gravity 4, 635-650, (1987);           CQG-OL Article.

The Relationship between Continuum Homogeneity and Statistical Homogeneity in Cosmology
W.R. Stoeger, G.F.R. Ellis & C. Hellaby
Monthly Notices of the Royal Astronomical Society 226, 373-81, (1987).
Preprint 87/2, Department of Applied Mathematics, University of Cape Town, 1987

Reply to `Collapse of Radiating Fluid Spheres and Cosmic Censorship'
K. Lake & C. Hellaby
Physical Review D 31, 2695-6, (1985);           PROLArchive version.
[W.G. Unruh's comment:
   Phys. Rev. D 31, 2693-4 (1985);           PROLArchive version. ]

Shell Crossings and the Tolman Model
C. Hellaby & K. Lake           ShCrTolMod.pdf
Astrophysical Journal 290, 381-387, (1985).
plus errata in
Astrophysical Journal 300, 461, (1986).

Redshift Structure of the Big Bang in Inhomogeneous Cosmological Models. I. Spherical Dust Solutions
C. Hellaby & K. Lake
Astrophysical Journal 282, 1-10, (1984).           ADS: Full article.
plus errata in
Astrophysical Journal 294, 702, (1985).           ADS: Full article.

Mass Scales in a Universe of Dust and Blackbody Radiation
C. Hellaby & K. Lake
Astrophysical Letters 23, 81-83 (1983).           ADS: Abstract only.

Collapse of Radiating Fluid Spheres
K. Lake & C. Hellaby
Physical Review D 24, 3019-3022 (1981);           PROLArchive version.

Local Inhomogeneities in a Robertson-Walker Background. III. Elementary Growth Rates in a Flat Background with a Relativistic Equation of State
C. Hellaby & K. Lake
Astrophysical Journal 251, 429-435, (1981).


Selected Proceedings & Talk Write-Ups

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Modelling Inhomogeneity in the Universe
C. Hellaby           arXiv:0910.0350 [gr-qc]
Proceedings of Science PoS(ISFTG)005 (2009).           PoS Article
2 Lectures, 5th International School of Field Theory and Gravitation, Cuiabá, Brazil, 20-24 April 2009

The Mass and Geometry of the Cosmos
C. Hellaby           MG11Talk.pdf
Review talk, Workshop on Inhomogeneous Cosmology (COT3), 11th Marcel Grossmann Meeting on General Relativity, Berlin, 23-29 July 2006
Published in ``Proceedings of the 11th Marcel Grossmann Meeting on General Relativity",
Editors: H. Kleinert, R.T. Jantzen and R. Ruffini, World Scientific, Singapore, 2008.          

Finding the Metric of the Cosmos
C. Hellaby           FndMCsms.pdf
Talk, Mathematics of Gravitation II, Warsaw, 1-9 Sept 2003.           Proceedings

Szekeres Models and their Wormholes
C. Hellaby (presenter) & A. Krasiński           SZWHTalk.pdf
Review talk, Workshop on Inhomogeneous Cosmology (COT4), 10th Marcel Grossmann Meeting on General Relativity, Rio de Janeiro, 20-26 July 2003.
Published in ``Proceedings of the 10th Marcel Grossmann Meeting on General Relativity",
Editors: M. Novello and S.P. Bergliaffa, World Scientific, 2005, pages 29-38.          

Structure Formation in the Universe by Exact Methods
A. Krasiński (presenter) & C. Hellaby
Plenary Lecture, 10th Marcel Grossmann Meeting on General Relativity, Rio de Janeiro, 20-26 July 2003.
Published in ``Proceedings of the 10th Marcel Grossmann Meeting on General Relativity",
Editors: M. Novello and S.P. Bergliaffa, World Scientific, 2005, pages 80-99.          

Structure Formation in the Lemaitre-Tolman Cosmological Model (A Non-Perturbative Approach)
A. Krasiński (presenter) & C. Hellaby
Invited paper, International Conference in Honour of Jerzy Plebanski Cinvestav, Mexico City 17-20 September 2002.
Published in ``Topics in Mathematical Physics, General Relativity and Cosmology",
Editors: H García-Compeán, B Mielnik, M Montesinos & M Przanowski , World Scientific, 2006, pages 279-290.           ISBN 981-270-047-1

Observations in Inhomogeneous Universes
C. Hellaby
Talk, Workshop on Inhomogeneous Cosmology (COT3), 9th Marcel Grossmann Meeting on General Relativity, Rome, 2-8 July 2000.
Published in ``Proceedings of the 9th Marcel Grossmann Meeting on General Relativity",
Editors: V.G. Gurzadyan, R.T. Jantzen, and R. Ruffini, World Scientific, 2002, pages 1963-70.          


Circulated but not published

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The singularity of Eardley, Smarr and Christodoulou
C. Hellaby and K. Lake           ESC.pdf
Preprint 88/7, Department of Applied Mathematics, University of Cape Town, 1988

Some Properties of Singularities in the Tolman Model
C. Hellaby
Ph.D. Thesis, Queen's Univeristy at Kingston, Ontario (1985).           CWH_PhD.pdf