Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Schwarzschild Radius and Event Horizon

Schwarzschild Radius and Event Horizon

No object with a finite mass can travel faster than the speed of light in a vacuum. This fact has an interesting consequence in the domain of extremely high gravitational fields.
The minimum speed required to launch a projectile from the surface of an object to which it is gravitationally bound so that it eventually escapes the object’s gravitational field is called the escape velocity. The escape velocity is independent of the mass of the object. Merging the idea of escape velocity with the...

Detection of Black Holes

Detection of Black Holes

Although black holes were theoretically postulated in the 1920s, they remained outside the domain of observational astronomy until the 1970s.
Their closest cousins are neutron stars, which are composed almost entirely of neutrons packed against each other, making them extremely dense. A neutron star has the same mass as the Sun but its diameter is only a few kilometers. Therefore, the escape velocity from their surface is close to the speed of light.
Not until the 1960s, when the first neutron...

Reduced Mass Coordinates: Isolated Two-body Problem

Reduced Mass Coordinates: Isolated Two-body Problem

In classical mechanics, the two-body problem is one of the fundamental problems describing the motion of two interacting bodies under gravity or any other central force. When considering the motion of two bodies, one of the most important concepts is the reduced mass coordinates, a quantity that allows the two-body problem to be solved like a single-body problem. In these circumstances, it is assumed that a single body with reduced mass revolves around another body fixed in a position with an...

Gravitation Between Spherically Symmetric Masses

Gravitation Between Spherically Symmetric Masses

The gravitational potential energy between two spherically symmetric bodies can be calculated from the masses and the distance between the bodies, assuming that the center of mass is concentrated at the respective centers of the bodies.

First Law: Particles in Two-dimensional Equilibrium

First Law: Particles in Two-dimensional Equilibrium

Recall that a particle in equilibrium is one for which the external forces are balanced. Static equilibrium involves objects at rest, and dynamic equilibrium involves objects in motion without acceleration; but it is important to remember that these conditions are relative. For instance, an object may be at rest when viewed from one frame of reference, but that same object would appear to be in motion when viewed by someone moving at a constant velocity.
Newton's first law tells us about the...

Conservation of Mass in Finite Cotrol Volume

Conservation of Mass in Finite Cotrol Volume

The principle of conservation of mass is a fundamental law in fluid mechanics and is applied using the continuity equation. We apply the concept to a finite control volume to derive the continuity equation.
A system is defined as a collection of unchanging contents, and the conservation of mass states that a system's mass is constant.

You might also read

Related Articles

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

Sort by

Same author

Mechanics of floating bodies.

Proceedings. Mathematical, physical, and engineering sciences·2022

Same author

Quasi-Normal Modes of Stars and Black Holes.

Living reviews in relativity·2017

Same author

Resonant Dynamics and the Instability of Anti-de Sitter Spacetime.

Physical review letters·2015

Same author

Comment on "Holographic Thermalization, Stability of Anti-de Sitter Space, and the Fermi-Pasta-Ulam Paradox".

Physical review letters·2015

Same author

Globally regular instability of 3-dimensional anti-de Sitter spacetime.

Physical review letters·2013

Same author

Weakly turbulent instability of anti-de Sitter spacetime.

Physical review letters·2011

Search research articles

Related Experiment Video

Updated: Jul 19, 2026

Laboratory Drop Towers for the Experimental Simulation of Dust-aggregate Collisions in the Early Solar System

Laboratory Drop Towers for the Experimental Simulation of Dust-aggregate Collisions in the Early Solar System

Published on: June 5, 2014

Codimension-two critical behavior in vacuum gravitational collapse.

Piotr Bizoń¹, Tadeusz Chmaj, Bernd G Schmidt

¹M. Smoluchowski Institute of Physics, Jagiellonian University, Kraków, Poland.

Physical Review Letters

|October 10, 2006

Summary

Researchers explored black-hole formation using five-dimensional Einstein equations. They discovered a codimension-two attractor, a discretely self-similar solution with two unstable modes, confirming theoretical predictions.

More Related Videos

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

Published on: February 17, 2019

Single Wavelength Shadow Imaging of Caenorhabditis elegans Locomotion Including Force Estimates

Single Wavelength Shadow Imaging of Caenorhabditis elegans Locomotion Including Force Estimates

Published on: April 18, 2014

Related Experiment Videos

Last Updated: Jul 19, 2026

Laboratory Drop Towers for the Experimental Simulation of Dust-aggregate Collisions in the Early Solar System

Laboratory Drop Towers for the Experimental Simulation of Dust-aggregate Collisions in the Early Solar System

Published on: June 5, 2014

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

Impacts of Free-falling Spheres on a Deep Liquid Pool with Altered Fluid and Impactor Surface Conditions

Published on: February 17, 2019

Single Wavelength Shadow Imaging of Caenorhabditis elegans Locomotion Including Force Estimates

Single Wavelength Shadow Imaging of Caenorhabditis elegans Locomotion Including Force Estimates

Published on: April 18, 2014

Area of Science:

Theoretical physics
General relativity
Black hole physics

Background:

The study investigates critical phenomena in black hole formation.
Focuses on five-dimensional vacuum Einstein equations with a specific ansatz.

Purpose of the Study:

To analyze critical behavior at the black hole formation threshold.
To predict and identify novel attractors in this dynamic system.

Main Methods:

Utilized the cohomogeneity-two triaxial Bianchi type-IX ansatz.
Exploited a discrete symmetry inherent in the model.
Performed numerical simulations to confirm predictions.

Main Results:

Predicted the existence of a codimension-two attractor.
Numerically confirmed the attractor's presence.
Identified the attractor as a discretely self-similar solution.

Conclusions:

The study confirms the existence of a codimension-two attractor.
This attractor is characterized by two unstable modes.
Highlights the importance of discrete symmetries in understanding black hole formation dynamics.