The gravitational equations of motion in relativity

  • V. V. Narlikar


We derive an equation (41) for the geodesics in the field of two bodies as given by Einstein, Infeld and Hoffmann. It is shown that whenm 1=0 the equation reduces to that of the two-body problem (17) obtained without any reference to the geodesic postulate. This is the main result of the paper. Although Einstein’s new method of deriving gravitational equations of motion is based on the field equations only we show how it can be consistent with the geodesic postulate if the field tensor tends to zero in a particular manner.


Field Equation Gravitational Equation Timelike Unit Vector Spacelike Unit Vector Spacelike Unit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Einstein, Infeld and HoffmannAnn. Math., H, 5, 1938,39 65.CrossRefMathSciNetGoogle Scholar
  2. 2.
    Einstein and RosenPhys. Rev., 1935,48, 76.CrossRefGoogle Scholar
  3. 3.
    Ibid.,, 1936,49, 404.MATHCrossRefGoogle Scholar
  4. 4.
    Einstein and InfeldThe Evolution of Physics, 1938, 256–60.Google Scholar
  5. 5.
    Narlikar, V. V., and J. SinghPhil. Mag., 1937,23, 628.MATHGoogle Scholar
  6. 6.
    Narlikar, V. V.J. Bom. Univ., 1939,8, 51.MathSciNetGoogle Scholar
  7. 7.
    Eddington, Sir A., and G. L. ClarkeProc. Roy. Soc. (A), 1938,166, 465.CrossRefGoogle Scholar

Copyright information

© Indian Academy of Sciences 1941

Authors and Affiliations

  • V. V. Narlikar
    • 1
  1. 1.Department of MathematicsBenares Hindu UniversityIndia

Personalised recommendations