Abstract
In Chap. 1 we learned that Newtonian gravitation can be considered as a geometry of space–time. In addition we learned the fundamentals of the corresponding mathematical apparatus, differential geometry. In this chapter we want to apply those methods to relativistic particle dynamics. In contrast to the non-relativistic case, this will lead to a new theory, the so-called general relativity, which will modify the theory of special relativity as well as the theory of Newtonian gravitation. This means that general relativity predicts new physical phenomena.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
A.P.French, Special Relativity, Massachusetts Institute of Technology, Cambridge, MA, 1968.
H.Goldstein, Classical Mechanics, Addison-Wesley,Reading, MA, 1980.
S.W.Hawking and G.F.R.Ellis, The Large Scale Structure of Space-Time, Cambridge University Press, Cambridge, 1973.
I.M.Gel’fand, Lectures on Linear Algebra. Interscience Publishers, New York, 1961.
J.L.Synge, Relativity: The General Theory. North-Holland, Amsterdam, 1960.
I.Ciufolini and J.A.Wheeler, Gravitation and Inertia. Princeton University Press, Princeton, NJ, 1995.
A.S.Eddington, The Mathematical Theory of Relativity,Cambridge University Press, Cambridge, UK, 1922.
H.P.Robertson, Relativity and Cosmology, Deutsch and Klemperer, 1962.
R.M.Wald, General Relativity, University of Chicago Press, Chicago, IL, 1984.
C.M.Will, Theory and Experiment in Gravitational Physics. Cambridge University Press, Cambridge, 1993.
B.Schutz, Gravity from the Ground up, Cambridge University Press, Cambridge, UK, 2003.
I. I. Shapiro, Phys. Rev. Lett. 13, (1964) 789.
I. I. Shapiro, et al.: J: Geophys. Res. 82, (1977) 4329–4334.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2008 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Hájíček, P. (2008). Relativistic Particle Dynamics in Gravitational Fields. In: An Introduction to the Relativistic Theory of Gravitation. Lecture Notes in Physics, vol 750. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-78659-7_2
Download citation
DOI: https://doi.org/10.1007/978-3-540-78659-7_2
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-78658-0
Online ISBN: 978-3-540-78659-7
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)