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Pramana

, Volume 69, Issue 1, pp 7–14 | Cite as

A K Raychaudhuri and his equation

  • J. Ehlers
Article

Abstract

Amal Kumar Raychaudhuri died on June 18, 2005. This essay follows the lecture which I gave in honour of this great Indian scientist and teacher on December 26, 2005 in Puri, India.

Keywords

Raychaudhuri equation cosmology gravitational collapse 

PACS Nos

01.60 98.80 

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List of Publications of Professor A K Raychaudhury

A. Papers

  1. 1.
    Volkoff’s massive spheres; Phys. Rev. 84, 166 (1951)Google Scholar
  2. 2.
    Radiation sphere in Einstein universe; Bull. Calcutta Math. Soc. 44, 31 (1952)Google Scholar
  3. 3.
    Condensations in expanding cosmological models; Phys. Rev. 86, 90 (1952)Google Scholar
  4. 4.
    Reine Strahlungsfelder mit Zentralsymmetrie in der allgemeinem Relativitätstheorie; Z. Physik. 135, 225 (1953)Google Scholar
  5. 5.
    Arbitrary concentration of matter and the Schwarzchild singularity; Phys. Rev. 89, 417 (1953)Google Scholar
  6. 6.
    Relativistic cosmology I; Phys. Rev. 98, 1123 (1955)Google Scholar
  7. 7.
    Note on the network approximation in metals; Proc. Phys. Soc. (London) A68, 439 (1955)Google Scholar
  8. 8.
    Perturbed cosmological models; Z. Astrophysik 37, 103 (1955)Google Scholar
  9. 9.
    Relativistic and Newtonian cosmology; Z. Astrophysik 43, 161 (1957)Google Scholar
  10. 10.
    Singular state in relativistic cosmology; Phys. Rev. 106, 172 (1957)Google Scholar
  11. 11.
    Electronic energy bands in model three dimensional lattices, Z. Physik 148, 435 (1957)Google Scholar
  12. 12.
    An anisotropic cosmological solution in general relativity; Proc. Phys. Soc. (London) A72, 263 (1958)Google Scholar
  13. 13.
    The isoelectronic series of semiconducting compounds with zinc-blende structure; Proc. Nat. Inst. Sci. (India) 25, 201 (1959)Google Scholar
  14. 14.
    Static electromagnetic fields in general relativity; Ann. Phys. (NY) 11, 501 (1960)Google Scholar
  15. 15.
    A general deduction of two important relations in relativistic cosmology; Z. Astrophysik 51, 88 (1961)Google Scholar
  16. 16.
    Stationary cylindrically symmetric clusters of particles in general relativity (with M M Som); Proc. Cambridge Philos. Soc. 58, 338 (1962)zbMATHCrossRefMathSciNetGoogle Scholar
  17. 17.
    Cosmological evolution with creation of matter (with S. Banerji); Z. Astrophysik 58, 187 (1964)zbMATHADSMathSciNetGoogle Scholar
  18. 18.
    Gravitational collapse in a cosmological background; Proc. Phys. Soc. (London) 88, 545 (1966)Google Scholar
  19. 19.
    Static distribution of charged dust in general relativity (with U K Deo); Proc. Roy. Soc. (London) A303, 97 (1968)ADSGoogle Scholar
  20. 20.
    Stationary electromagnetic fields in general relativity (with B K Dutta); J. Math. Phys. 9, 1715 (1968)CrossRefADSGoogle Scholar
  21. 21.
    Cylindrically symmetric charged dust distribution in rigid rotation in general relativity (with M M Som): Proc. R. Soc. (London) A304, 81 (1968)ADSGoogle Scholar
  22. 22.
    Charged dust distribution in general relativity (with U K De); J. Phys. A3, 263 (1970)ADSGoogle Scholar
  23. 23.
    Tachyons and gravitation; J. Math. Phys. 15, 856 (1974)Google Scholar
  24. 24.
    Null fields in spaces of high symmetry (with A K Datta); J. Math. Phys. 15, 1277 (1974)CrossRefADSGoogle Scholar
  25. 25.
    Spherically symmetric charged dust distribution in general relativity; Ann. Inst. Henri Poincare 22, 229 (1975)Google Scholar
  26. 26.
    Nature of the singularity in some Brans-Dicke universes; Prog. Theor. Phys. 53, 1360 (1975)Google Scholar
  27. 27.
    Einstein—Cartan cosmologies with a magnetic field; Phys. Rev. D12, 952 (1975)Google Scholar
  28. 28.
    Einstein—Cartan spheres (with S Banerji), Phys. Rev. D16, 281 (1977)ADSMathSciNetGoogle Scholar
  29. 29.
    Perfect fluid cosmology with geodesic world lines (with S R Maity); Phys. Rev. D18, 3595 (1978)ADSGoogle Scholar
  30. 30.
    Charged dust distribution in Brans—Dicke theory (with N Bandyopadhyay); Phys. Rev. D18, 2756 (1978)ADSMathSciNetGoogle Scholar
  31. 31.
    Field of a charged particle in Brans—Dicke theory (with N Bandyopadhyay); Prog. Theor. Phys. 59, 414 (1978)CrossRefADSGoogle Scholar
  32. 32.
    Ferraro’s theorem in non-flat space-time; Mon. Not. R. Astron. Soc. 189, 39 (1979)Google Scholar
  33. 33.
    Conformal flatness and the Schwarzchild interior solution (with S R Maity); J. Math. Phys. 20, 245 (1979)CrossRefADSMathSciNetGoogle Scholar
  34. 34.
    Homogenoeous space-times of Godel type (with S Guhathakurta); Phys. Rev. D22, 802 (1980)ADSMathSciNetGoogle Scholar
  35. 35.
    Viscous fluid interpretation of electromagnetic fields in general relativity (with S K Saha); J. Math. Phys. 22, 2237 (1981)zbMATHCrossRefADSMathSciNetGoogle Scholar
  36. 36.
    Rotating charged dust distributions in general relativity; J. Phys. A15, 831 (1982)Google Scholar
  37. 37.
    Viscous fluid interpretation of electromagnetic fields in general relativity II (with S K Saha); J. Math. Phys. 23, 2554 (1982)CrossRefADSMathSciNetGoogle Scholar
  38. 38.
    Temperature dependent gravitational constant and black hole physics (with B Bagchi); Phys. Lett. B124, 168 (1983)ADSGoogle Scholar
  39. 39.
    Dual interpretation of electromagnetic fields in general relativity (with S K Saha); Gen. Relativ. Gravit. 15, 611 (1983)CrossRefADSMathSciNetGoogle Scholar
  40. 40.
    Is the universe near the state of maximal expansion? (with G Mukherjee); Mon. Not. R. Astron. Soc. 209, 353 (1984)ADSGoogle Scholar
  41. 41.
    Physical approach to cosmological homogeneity (with B Modak); Phys. Rev. D31, 1807 (1985)ADSMathSciNetGoogle Scholar
  42. 42.
    Domain walls of finite thickness in general relativity (with G Mukherjee); Phys. Rev. Lett. 59, 1504 (1987)CrossRefADSGoogle Scholar
  43. 43.
    Inflation with arbitrary initial conditions; Class. Quantum. Gravit. 5, 225 (1988)Google Scholar
  44. 44.
    Cosmic strings in general relativity; Phys. Rev. D41, 3041 (1990)Google Scholar
  45. 45.
    Theorem for non-rotating singularity free universes; Phys. Rev. Lett. 80, 645 (1998)Google Scholar
  46. 46.
    N K Dadhich and A K Raychaudhuri, Mod. Phys. Lett. 14, 2135 (1999)CrossRefADSGoogle Scholar
  47. 47.
    A new theorem in relativistic cosmology; Mod. Phys. Lett. 15, 391 (2000)Google Scholar
  48. 48.
    Singularity free cosmological solutions with non-rotating perfect fluids; Gen. Relativ. Gravit. 36, 343 (2004)Google Scholar

B. Books

  1. 1.
    Theoretical Cosmology (Clarendon Press, Oxford; Oxford University Press, 1979)Google Scholar
  2. 2.
    Classical Mechanics — A Course of Lectures (Oxford University Press, India, 1983)Google Scholar
  3. 3.
    Classical Theory of Electromagnetic Fields (Oxford University Press, India, 1990)Google Scholar
  4. 4.
    General Relativity, Astrophysics and Cosmology (with S Banerji and A Banerjee) (Springer-Verlag, 1992)Google Scholar
  5. 5.
    Uchchataro Gatibidya (Higher Mechanics — in Bengali) (Paschim Banga Rajya Pustak Parishad, Kolkata)Google Scholar
  6. 6.
    Some outstanding problems in cosmology; in Gravitation and Relativistic Astrophysics: edited by Prasanna et al (World Scientific, 1984)Google Scholar

References

  1. [1]
    A K Raychaudhuri, Arbitrary concentration of matter and the Schwarzschild singularity, Phys. Rev. 89, 417 (1953)zbMATHCrossRefADSMathSciNetGoogle Scholar
  2. [2]
    A K Raychaudhuri, Relativistic cosmology, Phys. Rev. 98, 1123 (1955)zbMATHCrossRefADSMathSciNetGoogle Scholar
  3. [3]
    There they say on p. 448: ‘An important theorem for arbitrary models with incoherent matter has been discovered by A K Raychaudhuri in 1955. It rests on the Raychaudhuri equation for the scalar of expansion’Google Scholar
  4. [4]
    O Heckmann and E Schucking, in Gravitation: An introduction to current research (New York, 1962)Google Scholar
  5. [5]
    J Ehlers, Contributions to the relativistic mechanics of continuous media, Gen. Relativ. Gravit. 25, 1225 (1993), Translation of the 1961 German originalzbMATHCrossRefADSMathSciNetGoogle Scholar
  6. [6]
    S W Hawking and G F R Ellis, The large scale structure of spacetime (Cambridge, 1973)Google Scholar
  7. [7]
    A K Raychaudhuri, Theoretical cosmology (Oxford University Press, 1979)Google Scholar

Copyright information

© Indian Academy of Sciences 2007

Authors and Affiliations

  • J. Ehlers
    • 1
  1. 1.Max-Planck-Institute for Gravitational PhysicsAlbert-Einstein-InstituteGolmGermany

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