Solutions for uniform acceleration in general relativity

Research Article


We explore two methods for obtaining solutions for uniformly accelerated motion in general curved spacetime. We provide an example in Schwarzschild spacetime.


Uniform acceleration Schwarzschild spacetime Frenet frame Parallel transport 


  1. 1.
    Mashhoon, B., Muench, U.: Length measurement in accelerated systems. Ann. Phys. 11, 532-547 (2002)CrossRefMATHGoogle Scholar
  2. 2.
    de la Fuente, D., Romero, A.: Uniformly accelerated motion in general relativity: completeness of inextensible trajectories. Gen. Relativ. Gravit. 47, 33 (2015)ADSMathSciNetCrossRefMATHGoogle Scholar
  3. 3.
    de la Fuente, D., Romero, A., Torres, P.: Unchanged direction motion in general relativity: the problems of prescribing acceleration and the extensibility of trajectories. J. Math. Phys. 56, 112501 (2015)ADSMathSciNetCrossRefMATHGoogle Scholar
  4. 4.
    Friedman, Y., Scarr, T.: Uniform acceleration in general relativity. Gen. Relativ. Gravit. 47, 121 (2015)ADSMathSciNetCrossRefMATHGoogle Scholar
  5. 5.
    Friedman, Y., Scarr, T.: Making the relativistic dynamics equation covariant: explicit solutions for motion under a constant force. Phys. Scr. 86, 065008 (2012)ADSCrossRefMATHGoogle Scholar
  6. 6.
    Friedman, Y., Scarr, T.: Spacetime transformations from a uniformly accelerated frame. Phys. Scr. 87, 055004 (2013)ADSCrossRefGoogle Scholar
  7. 7.
    O’Neill, B.: Semi-Riemannian Geometry. Academic Press, London (1983)MATHGoogle Scholar
  8. 8.
    Misner, C., Thorne, K., Wheeler, J.: Gravitation. Freeman, San Francisco (1973)Google Scholar
  9. 9.
    Grøn, Ø., Hervik, S.: Einstein’s General Theory of Relativity with Modern Applications in Cosmology. Springer, New York (2007)CrossRefMATHGoogle Scholar

Copyright information

© Springer Science+Business Media New York 2016

Authors and Affiliations

  1. 1.Department of MathematicsJerusalem College of TechnologyJerusalemIsrael
  2. 2.Department of PhysicsJerusalem College of TechnologyJerusalemIsrael

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