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16933 results

Page 4 of 847

  • 29 - The (parametrized) post-Newtonian expansion and metric frames

  • Horatiu Nastase, Universidade Estadual Paulista, São Paulo
  • Book:
    General Relativity
    Published online:
    24 April 2025
    Print publication:
    08 May 2025, pp 323-335

  • Summary

    We describe the parametrized post-Newtonian (PPN) formalism for expansion around the Newtonian limit. First we describe the formalism for generic gravity theories, for the equations of motion and the energy-momentum tensor. Then we consider it for many-body systems (like binary inspirals) and the coefficients for PPN in general relativity in this case. We describe the effective field theory approach in this case, show how to calculate the post-Newtonian (PN) order, and how it fits with the EIH Lagrangian. Finally, we consider metric frames, the usual Einstein frame versus the generic Jordan frame, and the original Brans–Dicke theory.

General Relativity
  • A Graduate Course
  • Horatiu Nastase
  • Published online:
    24 April 2025
    Print publication:
    08 May 2025
  • This text on general relativity and its modern applications is suitable for an intensive one-semester course on general relativity, at the level of a Ph.D. student in physics. Assuming knowledge of classical mechanics and electromagnetism at an advanced undergraduate level, basic concepts are introduced quickly, with greater emphasis on their applications. Standard topics are covered, such as the Schwarzschild solution, classical tests of general relativity, gravitational waves, ADM parametrization, relativistic stars and cosmology, as well as more advanced standard topics like vielbein-spin connection formulation, trapped surfaces, the Raychaudhuri equation, energy conditions, the Petrov and Bianchi classifications and gravitational instantons. More modern topics, including black hole thermodynamics, gravitational entropy, effective field theory for gravity, the PPN expansion, the double copy and fluid-gravity correspondence, are also introduced using the language understood by physicists, without too abstract mathematics, proven theorems, or the language of pure mathematics.

Page 4 of 847