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Title: Modifications of the Schwarzschild null geodesics in effective field theories

Abstract

In this paper the dynamics of Schwarzschild null geodesics in the context of low-energy effective field theories incorporating some interactions violating the equivalence principle is examined. Nonperturbed geodesics are expressed in terms of a convenient set of constants called orbital elements. The modifications introduced by the effective interactions are treated as small perturbations, then the method of variation of parameters is employed to find the evolution of the orbital elements for the true worldlines. We next focus our discussion on the geometry of nondispersive photon orbits and highlight the importance of different orbital elements in long-term change of the orbit. This calculation shows that nondispersive forces acting on null geodesics drive a secular growth of the positional elements. As an application of our results we examine the evolution of mean orbital elements in the semiclassical theory of quantum gravitational optics and show that the averaged correction terms are within the range of the uncertainty principle.

Authors:
 [1]
  1. Department of Physics, University of Tehran, North Karegar Avenue, Tehran 14395-547 (Iran, Islamic Republic of)
Publication Date:
OSTI Identifier:
21313620
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 80; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.80.124028; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CORRECTIONS; DISTURBANCES; EQUIVALENCE PRINCIPLE; EVOLUTION; FIELD THEORIES; GEODESICS; INTERACTIONS; OPTICS; ORBITS; PERTURBATION THEORY; PHOTONS; QUANTUM FIELD THEORY; SCHWARZSCHILD METRIC; SEMICLASSICAL APPROXIMATION; UNCERTAINTY PRINCIPLE

Citation Formats

Ahmadi, N. Modifications of the Schwarzschild null geodesics in effective field theories. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.124028.
Ahmadi, N. Modifications of the Schwarzschild null geodesics in effective field theories. United States. https://doi.org/10.1103/PHYSREVD.80.124028
Ahmadi, N. 2009. "Modifications of the Schwarzschild null geodesics in effective field theories". United States. https://doi.org/10.1103/PHYSREVD.80.124028.
@article{osti_21313620,
title = {Modifications of the Schwarzschild null geodesics in effective field theories},
author = {Ahmadi, N},
abstractNote = {In this paper the dynamics of Schwarzschild null geodesics in the context of low-energy effective field theories incorporating some interactions violating the equivalence principle is examined. Nonperturbed geodesics are expressed in terms of a convenient set of constants called orbital elements. The modifications introduced by the effective interactions are treated as small perturbations, then the method of variation of parameters is employed to find the evolution of the orbital elements for the true worldlines. We next focus our discussion on the geometry of nondispersive photon orbits and highlight the importance of different orbital elements in long-term change of the orbit. This calculation shows that nondispersive forces acting on null geodesics drive a secular growth of the positional elements. As an application of our results we examine the evolution of mean orbital elements in the semiclassical theory of quantum gravitational optics and show that the averaged correction terms are within the range of the uncertainty principle.},
doi = {10.1103/PHYSREVD.80.124028},
url = {https://www.osti.gov/biblio/21313620}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 80,
place = {United States},
year = {Tue Dec 15 00:00:00 EST 2009},
month = {Tue Dec 15 00:00:00 EST 2009}
}