Skip to main content
Log in

Solutions for uniform acceleration in general relativity

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

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

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1

Similar content being viewed by others

References

  1. Mashhoon, B., Muench, U.: Length measurement in accelerated systems. Ann. Phys. 11, 532-547 (2002)

    Article  MATH  Google Scholar 

  2. de la Fuente, D., Romero, A.: Uniformly accelerated motion in general relativity: completeness of inextensible trajectories. Gen. Relativ. Gravit. 47, 33 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  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)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  4. Friedman, Y., Scarr, T.: Uniform acceleration in general relativity. Gen. Relativ. Gravit. 47, 121 (2015)

    Article  ADS  MathSciNet  MATH  Google Scholar 

  5. Friedman, Y., Scarr, T.: Making the relativistic dynamics equation covariant: explicit solutions for motion under a constant force. Phys. Scr. 86, 065008 (2012)

    Article  ADS  MATH  Google Scholar 

  6. Friedman, Y., Scarr, T.: Spacetime transformations from a uniformly accelerated frame. Phys. Scr. 87, 055004 (2013)

    Article  ADS  Google Scholar 

  7. O’Neill, B.: Semi-Riemannian Geometry. Academic Press, London (1983)

    MATH  Google Scholar 

  8. Misner, C., Thorne, K., Wheeler, J.: Gravitation. Freeman, San Francisco (1973)

    Google Scholar 

  9. Grøn, Ø., Hervik, S.: Einstein’s General Theory of Relativity with Modern Applications in Cosmology. Springer, New York (2007)

    Book  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Yaakov Friedman.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Scarr, T., Friedman, Y. Solutions for uniform acceleration in general relativity. Gen Relativ Gravit 48, 65 (2016). https://doi.org/10.1007/s10714-016-2062-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10714-016-2062-1

Keywords

Navigation