The Weak-Field Approximation

  • Maurizio Gasperini
Part of the Undergraduate Lecture Notes in Physics book series (ULNP)


Derivation of the linearized Einstein equations, and applications of their solutions (in the limit of weak and static fields) to discuss two classical tests of general relativity: the bending of light rays and the radar-echo delay. A special topic (not available in the current textbook literature) discussed in this chapter is the shift of mean velocities induced by gravity, and the effective “slowdown” or “speedup” of light signals, depending on the observer position and on the given kinematic configuration.


Gravitational Field Gravitational Potential Deflection Angle Null Geodesic Test Body 
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  1. 3.
    Alles, B.: Phys. Rev. D 85, 047501 (2012) ADSCrossRefGoogle Scholar
  2. 34.
    Lust, D., Petropoulos, M.: Class. Quantum Gravity 29, 085013 (2012) MathSciNetADSCrossRefGoogle Scholar
  3. 35.
    Lynds, R., Petrosian, V.: Bull. Am. Astron. Soc. 18, 1014 (1986) ADSGoogle Scholar
  4. 44.
    Reasenberg, R., et al.: Astrophys. J. 234, L219 (1989) ADSCrossRefGoogle Scholar
  5. 48.
    Shapiro, I.I.: Phys. Rev. Lett. 13, 789 (1964) MathSciNetADSCrossRefGoogle Scholar

Copyright information

© Springer-Verlag Italia 2013

Authors and Affiliations

  • Maurizio Gasperini
    • 1
  1. 1.Department of PhysicsUniversity of BariBariItaly

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