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 Concept Videos

Gauss's Law01:07

Gauss's Law

8.2K
If a closed surface does not have any charge inside where an electric field line can terminate, then the electric field line entering the surface at one point must necessarily exit at some other point of the surface. Therefore, if a closed surface does not have any charges inside the enclosed volume, then the electric flux through the surface is zero. What happens to the electric flux if there are some charges inside the enclosed volume? Gauss's law gives a quantitative answer to this question.
8.2K
Gauss's Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

7.5K
A planar symmetry of charge density is obtained when charges are uniformly spread over a large flat surface. In planar symmetry, all points in a plane parallel to the plane of charge are identical with respect to the charges. Suppose the plane of the charge distribution is the xy-plane, and the electric field at a space point P with coordinates (x, y, z) is to be determined. Since the charge density is the same at all (x, y) - coordinates in the z = 0 plane, by symmetry, the electric field at P...
7.5K
Newton's First Law: Introduction01:17

Newton's First Law: Introduction

27.5K
Motion draws our attention. Motion itself can be beautiful, causing us to marvel at the forces needed to create spectacular sights, such as that of a dolphin jumping out of the water, the flight of a bird, or the orbit of a satellite. The study of motion is kinematics, but kinematics only describes the way objects move—their velocity and acceleration. Dynamics considers the forces that affect the motion of moving objects and systems. Newton's laws of motion are the foundation of...
27.5K
Space-Time Curvature and the General Theory of Relativity01:17

Space-Time Curvature and the General Theory of Relativity

4.4K
In 1905, Albert Einstein published his special theory of relativity. According to this theory, no matter in the universe can attain a speed greater than the speed of light in a vacuum, which thus serves as the speed limit of the universe.
This has been verified in many experiments. However, space and time are no longer absolute. Two observers moving relative to one another do not agree on the length of objects or the passage of time. The mechanics of objects based on Newton's laws of...
4.4K
Symmetry in Maxwell's Equations01:28

Symmetry in Maxwell's Equations

2.9K
Once the fields have been calculated using Maxwell's four equations, the Lorentz force equation gives the force that the fields exert on a charged particle moving with a certain velocity. The Lorentz force equation combines the force of the electric field and of the magnetic field on the moving charge. Maxwell's equations and the Lorentz force law together encompass all the laws of electricity and magnetism. The symmetry that Maxwell introduced into his mathematical framework may not be...
2.9K
Gauss's Law: Cylindrical Symmetry01:20

Gauss's Law: Cylindrical Symmetry

7.3K
A charge distribution has cylindrical symmetry if the charge density depends only upon the distance from the axis of the cylinder and does not vary along the axis or with the direction about the axis. In other words, if a system varies if it is rotated around the axis or shifted along the axis, it does not have cylindrical symmetry. In real systems, we do not have infinite cylinders; however, if the cylindrical object is considerably longer than the radius from it that we are interested in,...
7.3K

You might also read

Related Articles

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

Sort by
Same author

Nonlinearities in Black Hole Ringdowns.

Physical review letters·2023
Same author

Gravitational Mass Carried by Sound Waves.

Physical review letters·2019
Same author

Wess-Zumino terms for relativistic fluids, superfluids, solids, and supersolids.

Physical review letters·2015
Same author

Cosmic microwave background power asymmetry from non-Gaussian modulation.

Physical review letters·2013
Same author

Implications of relativity on nonrelativistic Goldstone theorems: gapped excitations at finite charge density.

Physical review letters·2013
Same author

No-go theorems for generalized chameleon field theories.

Physical review letters·2013

Related Experiment Video

Updated: Apr 25, 2026

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.2K

No-hair theorem for the Galileon.

Lam Hui1, Alberto Nicolis1

  • 1Physics Department and Institute for Strings, Cosmology, and Astroparticle Physics, Columbia University, New York, New York 10027, USA.

Physical Review Letters
|August 29, 2014
PubMed
Summary

Static black holes cannot support complex Galileon fields, even with unusual interactions or couplings. This finding applies to various boundary conditions and nonminimal gravitational couplings.

Area of Science:

  • Theoretical physics
  • General relativity
  • Cosmology

Background:

  • The no-hair theorems are fundamental in black hole physics, stating black holes are characterized only by mass, charge, and angular momentum.
  • Galileon fields, with their unique derivative interactions, challenge the applicability of standard no-hair theorems.
  • Understanding black hole solutions with exotic fields is crucial for testing theories beyond the Standard Model and General Relativity.

Purpose of the Study:

  • To investigate whether static, spherically symmetric black holes can sustain nontrivial Galileon field configurations.
  • To determine the validity of no-hair theorems in the presence of Galileon fields coupled to gravity.
  • To explore the influence of different boundary conditions and nonminimal couplings on Galileon black hole solutions.

Main Methods:

More Related Videos

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

22.6K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

8.9K

Related Experiment Videos

Last Updated: Apr 25, 2026

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

8.2K
The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry
12:14

The Generation of Higher-order Laguerre-Gauss Optical Beams for High-precision Interferometry

Published on: August 12, 2013

22.6K
Generation and Coherent Control of Pulsed Quantum Frequency Combs
06:42

Generation and Coherent Control of Pulsed Quantum Frequency Combs

Published on: June 8, 2018

8.9K
  • We analyzed the field equations for a Galileon field minimally or nonminimally coupled to gravity.
  • We focused on static, spherically symmetric black hole solutions.
  • The analysis considered both trivial and cosmological boundary conditions for the Galileon field.

Main Results:

  • We proved that static, spherically symmetric black holes cannot support nontrivial Galileon profiles.
  • The theorem holds irrespective of the Galileon field's boundary conditions (trivial or cosmological).
  • Nonminimal couplings of the covariant Galileon type between the Galileon and gravity do not alter this result.

Conclusions:

  • Static black holes are 'hairless' concerning Galileon fields, similar to standard scalar fields.
  • The peculiar derivative interactions of Galileon fields do not enable them to form nontrivial black hole solutions.
  • This result has implications for modified gravity theories and the search for exotic compact objects.