Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Solving the characteristic initial-value problem for colliding plane gravitational and electromagnetic waves.

G A Alekseev1, J B Griffiths

  • 1Steklov Mathematical Institute, Gubkina 8, Moscow 117966, GSP-1, Moscow, Russia. G.A.Alekseev@mi.ras.ru

Physical Review Letters
|December 12, 2001
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Production of biologicals using large scale culture.

Cytotechnology·2012
Same author

Fixed bed porous glass sphere (porosphere) bioreactors for animal cells.

Cytotechnology·2012
Same author

Scale-up of suspension and anchorage-dependent animal cells.

Methods in molecular biology (Clifton, N.J.)·2011
Same author

Large-scale production and storage of monoclonal antibodies and hybridomas.

Methods in molecular biology (Clifton, N.J.)·2011
Same author

Improving the predictability of performance by prerace detection of dorsal metacarpal disease in thoroughbred racehorses.

Australian veterinary journal·2000
Same author

An integrated strategy for the process development of a recombinant antibody-cytokine fusion protein expressed in BHK cells.

Applied microbiology and biotechnology·1999
Same journal

Erratum: Spectroscopy and Ground-State Transfer of Ultracold Bosonic ^{39}K^{133}Cs Molecules [Phys. Rev. Lett. 135, 203401 (2025)].

Physical review letters·2026
Same journal

Erratum: Lifetime of the ^{2}F_{7/2} Level in Yb^{+} for Spontaneous Emission of Electric Octupole Radiation [Phys. Rev. Lett. 127, 213001 (2021)].

Physical review letters·2026
Same journal

Laser-Plasma Based Seeded Free Electron Laser in the High-Gain Regime.

Physical review letters·2026
Same journal

Parent Hamiltonians for Stabilizer Quantum Many-Body Scars.

Physical review letters·2026
Same journal

Properties of Heavy Cosmic Nuclei Phosphorus, Chlorine, Argon, Potassium, and Calcium: Results from the Alpha Magnetic Spectrometer.

Physical review letters·2026
Same journal

Role of Spin-Isospin Symmetries in Nuclear β-Decays.

Physical review letters·2026
See all related articles

A new method solves wave collision problems by reformulating nonlinear equations into linear integral equations. This approach handles distinct wave fronts using generalized monodromy data for gravitational and electromagnetic wave interactions.

Area of Science:

  • Theoretical Physics
  • General Relativity
  • Wave Phenomena

Background:

  • Solving characteristic initial-value problems for wave collisions is complex.
  • Nonlinear interactions of gravitational and electromagnetic waves require advanced methods.
  • Existing monodromy-transform approaches have limitations with nonanalytic field behaviors.

Purpose of the Study:

  • To present a novel method for solving the characteristic initial-value problem for colliding plane waves.
  • To generalize the monodromy-transform approach for fields with nonanalytic characteristics.
  • To analyze the nonlinear interaction of gravitational and electromagnetic waves in a Minkowski spacetime.

Main Methods:

  • Reformulating nonlinear symmetry-reduced field equations into linear integral equations.

Related Experiment Videos

  • Utilizing a generalized monodromy-transform approach.
  • Employing generalized ("dynamical") monodromy data that evolve from initial wave front data.

    • Main Results:

    • The proposed method effectively solves the characteristic initial-value problem for wave collisions.
    • The technique accommodates fields with nonanalytic behavior on characteristics, typical of waves with distinct wave fronts.
    • Solutions are determined by dynamical monodromy data evolving from initial conditions.

    Conclusions:

    • The generalized monodromy-transform method offers a powerful tool for studying nonlinear wave interactions.
    • This approach provides a framework for analyzing complex wave phenomena in fundamental physics.
    • The method's ability to handle nonanalytic fields advances the study of gravitational and electromagnetic wave dynamics.