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Title: Caustics for spherical waves

Abstract

We study the development of caustics in shift-symmetric scalar field theories by focusing on simple waves with an S O ( p ) -symmetry in an arbitrary number of space dimensions. We show that the pure Galileon, the DBI–Galileon, and the extreme-relativistic Galileon naturally emerge as the unique set of caustic-free theories, highlighting a link between the caustic-free condition for simple S O ( p ) -waves and the existence of either a global Galilean symmetry or a global (extreme-)relativistic Galilean symmetry.

Authors:
 [1];  [2]
  1. Case Western Reserve Univ., Cleveland, OH (United States); Imperial College, London (United Kingdom)
  2. Univ. of Valencia (Spain); Univ. of Chicago, IL (United States). Kavli Inst. for Cosmological Physics (KICP)
Publication Date:
Research Org.:
Case Western Reserve Univ., Cleveland, OH (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP)
OSTI Identifier:
1423957
Alternate Identifier(s):
OSTI ID: 1346094
Grant/Contract Number:  
SC0009946
Resource Type:
Accepted Manuscript
Journal Name:
Physical Review D
Additional Journal Information:
Journal Volume: 95; Journal Issue: 6; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society (APS)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS

Citation Formats

de Rham, Claudia, and Motohashi, Hayato. Caustics for spherical waves. United States: N. p., 2017. Web. doi:10.1103/PhysRevD.95.064008.
de Rham, Claudia, & Motohashi, Hayato. Caustics for spherical waves. United States. https://doi.org/10.1103/PhysRevD.95.064008
de Rham, Claudia, and Motohashi, Hayato. Tue . "Caustics for spherical waves". United States. https://doi.org/10.1103/PhysRevD.95.064008. https://www.osti.gov/servlets/purl/1423957.
@article{osti_1423957,
title = {Caustics for spherical waves},
author = {de Rham, Claudia and Motohashi, Hayato},
abstractNote = {We study the development of caustics in shift-symmetric scalar field theories by focusing on simple waves with an S O ( p ) -symmetry in an arbitrary number of space dimensions. We show that the pure Galileon, the DBI–Galileon, and the extreme-relativistic Galileon naturally emerge as the unique set of caustic-free theories, highlighting a link between the caustic-free condition for simple S O ( p ) -waves and the existence of either a global Galilean symmetry or a global (extreme-)relativistic Galilean symmetry.},
doi = {10.1103/PhysRevD.95.064008},
journal = {Physical Review D},
number = 6,
volume = 95,
place = {United States},
year = {Tue Mar 07 00:00:00 EST 2017},
month = {Tue Mar 07 00:00:00 EST 2017}
}

Journal Article:

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Cited by: 22 works
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Works referenced in this record:

Membranes at quantum criticality
journal, March 2009


Caustics and wave propagation in curved spacetimes
journal, June 2012


DBI and the Galileon reunited
journal, May 2010


Formation of caustics in Dirac-Born-Infeld type scalar field systems
journal, November 2010


Field-theoretical formulations of MOND-like gravity
journal, December 2007


Publisher’s Note: Field-theoretical formulations of MOND-like gravity [Phys. Rev. D 76 , 124012 (2007)]
journal, December 2007


Transforming gravity: From derivative couplings to matter to second-order scalar-tensor theories beyond the Horndeski Lagrangian
journal, March 2014


Is the DBI scalar field as fragile as other k -essence fields?
journal, July 2016


New Class of Consistent Scalar-Tensor Theories
journal, May 2015


Third order equations of motion and the Ostrogradsky instability
journal, April 2015


Relativistic gravitation theory for the modified Newtonian dynamics paradigm
journal, October 2004


Cuscuton and low-energy limit of Hořava-Lifshitz gravity
journal, October 2009


Caustic avoidance in Hořava–Lifshitz gravity
journal, September 2009


Quantum gravity at a Lifshitz point
journal, April 2009


Degenerate higher derivative theories beyond Horndeski: evading the Ostrogradski instability
journal, February 2016


Covariant Galileon
journal, April 2009


`Good propagation' and duality invariance constraints on scalar, gauge vector and gravity actions
journal, January 1999


4D gravity on a brane in 5D Minkowski space
journal, July 2000


k -Essence, superluminal propagation, causality and emergent geometry
journal, February 2008

  • Babichev, Eugeny; Mukhanov, Viatcheslav; Vikman, Alexander
  • Journal of High Energy Physics, Vol. 2008, Issue 02
  • DOI: 10.1088/1126-6708/2008/02/101

Quantum Caustics for Systems with Quadratic Lagrangians in Multi-dimensions
journal, January 2000

  • Horie, Kenichi; Miyazaki, Hitoshi; Tsutsui, Izumi
  • Annals of Physics, Vol. 279, Issue 1
  • DOI: 10.1006/aphy.1999.5971

Second-order scalar-tensor field equations in a four-dimensional space
journal, September 1974

  • Horndeski, Gregory Walter
  • International Journal of Theoretical Physics, Vol. 10, Issue 6
  • DOI: 10.1007/BF01807638

Riding on irrelevant operators
journal, November 2014


Horndeski: beyond, or not beyond?
journal, March 2016

  • Crisostomi, Marco; Hull, Matthew; Koyama, Kazuya
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 03
  • DOI: 10.1088/1475-7516/2016/03/038

Generalization of the Fierz-Pauli action
journal, August 2010


Causal field theory with an infinite speed of sound
journal, April 2007


Degenerate higher order scalar-tensor theories beyond Horndeski and disformal transformations
journal, June 2016


Superluminality and UV completion
journal, September 2007


Generalized Galileons: All scalar models whose curved background extensions maintain second-order field equations and stress tensors
journal, September 2009


Resummation of Massive Gravity
journal, June 2011


The theory of caustics and wave front singularities with physical applications
journal, June 2000

  • Ehlers, Jürgen; Newman, Ezra T.
  • Journal of Mathematical Physics, Vol. 41, Issue 6
  • DOI: 10.1063/1.533316

Hyperbolic systems of conservation laws II
journal, January 1957


Chronology protection in Galileon models and massive gravity
journal, July 2012

  • Burrage, Clare; Rham, Claudia de; Heisenberg, Lavinia
  • Journal of Cosmology and Astroparticle Physics, Vol. 2012, Issue 07
  • DOI: 10.1088/1475-7516/2012/07/004

Caustic Singularity in Hořava-Lifshitz Gravity
journal, July 2011

  • Setare, M. R.; Momeni, Davood
  • International Journal of Theoretical Physics, Vol. 51, Issue 1
  • DOI: 10.1007/s10773-011-0894-8

Strong interactions and stability in the DGP model
journal, September 2003


TeVeS gets caught on caustics
journal, August 2008


Caustics in Tachyon Matter and Other Born-Infeld Scalars
journal, September 2002


Massive Gravity
journal, August 2014


Cuscuton cosmology: Dark energy meets modified gravity
journal, June 2007


Self-accelerating massive gravity: Hidden constraints and characteristics
journal, May 2016


Counting the degrees of freedom of generalized Galileons
journal, October 2015

  • Deffayet, Cédric; Esposito-Farèse, Gilles; Steer, Danièle A.
  • Physical Review D, Vol. 92, Issue 8
  • DOI: 10.1103/PhysRevD.92.084013

Formation of caustics in k-essence and Horndeski theory
journal, April 2016


Extended scalar-tensor theories of gravity
journal, April 2016

  • Crisostomi, Marco; Koyama, Kazuya; Tasinato, Gianmassimo
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 04
  • DOI: 10.1088/1475-7516/2016/04/044

Causality and micro-causality in curved spacetime
journal, October 2007


Caustic Formation in Tachyon Effective Field Theories
journal, July 2004


Generalized G-Inflation: --Inflation with the Most General Second-Order Field Equations--
journal, September 2011

  • Kobayashi, T.; Yamaguchi, M.; Yokoyama, J.
  • Progress of Theoretical Physics, Vol. 126, Issue 3
  • DOI: 10.1143/PTP.126.511

Healthy degenerate theories with higher derivatives
journal, July 2016

  • Motohashi, Hayato; Noui, Karim; Suyama, Teruaki
  • Journal of Cosmology and Astroparticle Physics, Vol. 2016, Issue 07
  • DOI: 10.1088/1475-7516/2016/07/033

Galileon as a local modification of gravity
journal, March 2009


Self-accelerating massive gravity: Superluminality, Cauchy surfaces, and strong coupling
journal, August 2015


Degenerate higher order scalar-tensor theories beyond Horndeski up to cubic order
journal, December 2016

  • Achour, J. Ben; Crisostomi, M.; Koyama, K.
  • Journal of High Energy Physics, Vol. 2016, Issue 12
  • DOI: 10.1007/JHEP12(2016)100

Ostrogradsky in theories with multiple fields
journal, June 2016


Works referencing / citing this record:

A new scalar–tensor realization of Hořava–Lifshitz gravity
journal, March 2019


Recovering P ( X ) from a canonical complex field
journal, November 2018

  • Babichev, Eugeny; Ramazanov, Sabir; Vikman, Alexander
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 11
  • DOI: 10.1088/1475-7516/2018/11/023

Extended cuscuton: formulation
journal, December 2018

  • Iyonaga, Aya; Takahashi, Kazufumi; Kobayashi, Tsutomu
  • Journal of Cosmology and Astroparticle Physics, Vol. 2018, Issue 12
  • DOI: 10.1088/1475-7516/2018/12/002

Linear stability analysis of hairy black holes in quadratic degenerate higher-order scalar-tensor theories: Odd-parity perturbations
journal, July 2019


Extended Cuscuton: Formulation
text, January 2018