On the Raychaudhuri Equation

Pramana - Journal of Physics

Volumn 69, Issue 1, 2007, Pages 15-22

  Ellis, George F R ^a  

^a UNIVERSITY OF CAPE TOWN   (South Africa)

Author keywords

Cosmology; General relativity; Singularity

Indexed keywords

ASTROPHYSICS; COSMOLOGY; GRAVITATION; PROBLEM SOLVING; RELATIVITY; THEOREM PROVING;

GENERAL RELATIVITY; GRAVITATIONAL ATTRACTION; RAYCHAUDHURI EQUATION; SINGULARITY;

EQUATIONS OF MOTION;

EID: 34547172711     PISSN: 03044289     EISSN: None     Source Type: Journal    
DOI: 10.1007/s12043-007-0107-4     Document Type: Article

References (13)

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2. Reprinted as a 'Golden Oldie' in GRG 32, 749 (2000)
3. O Heckman, Theorien der Kosmologie (Springer, 1942)
4. J Ehlers, Akad. Wiss. Lit. Mainz, Abhandl. Math.-Nat. Kl. 11, 793 (1961),
5. translation: J Ehlers, Gen. Relativ. Gravit. 25, 1225 (1993)
6. E T Whittaker, On Gauss' theorem and the concept of mass in general relativity, Proc. R. Soc. London A149, 384 (1935)
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8. S W Hawking and G F R, Ellis, The large scale structure of space-time (Cambridge University Press, Cambridge, 1973)
9. F J Tipler, C J S Clarke and G F R Ellis, Singularities and horizons: a review article, in: General relativity and gravitation: One hundred years after the birth of Albert Einstein edited by A Held (Plenum Press, New York, 1980) vol. 2, p. 97
10. G F R, Ellis, in: General Relativity and Cosmology, Proceedings of the XLVII Enrico Fermi Summer School edited by R K Sachs (Academic Press, New York, 1971) p. 104
11. A Einstein, Kosmologisched Betrachtungen der allgemeinen Relativitätsthorie, Preuss. Akad. Wiss. Sitz (1917) p. 142
12. Since one cannot perturb the actual universe, one must understand 'instability' in terms of the difficulty in setting exactly the correct initial conditions for a static universe rather than its instability to perturbation from a previous state.
13. G F R Ellis, The dynamics of pressure-free matter in general relativity, J. Math. Phys. 8, 1171 (1967)