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

Space-Time Curvature and the General Theory of Relativity01:17

Space-Time Curvature and the General Theory of Relativity

4.8K
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...
4.8K
Singularity Functions for Shear01:26

Singularity Functions for Shear

470
In structural analysis, singularity functions are crucial in simplifying the representation of shear forces in beams under discontinuous loading. These functions describe discontinuous  variations in shear force across a beam with varying loads by using a single mathematical expression, regardless of the complexity of the loading conditions. The singularity functions are derived from creating a free-body diagram of the beam and then making conceptual cuts at specific points to examine the...
470
Schwarzschild Radius and Event Horizon01:21

Schwarzschild Radius and Event Horizon

2.9K
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...
2.9K
Deflection of a Beam01:19

Deflection of a Beam

827
Accurately determining beam deflection and slope under various loading conditions in structural engineering is crucial for ensuring safety and structural integrity. Singularity functions offer a streamlined approach to analyzing beams, especially when multiple loading functions complicate the bending moment equation.
Singularity functions, described in an earlier lesson, are powerful mathematical tools that represent discontinuities within a function commonly encountered in structural loading...
827
Indeterminate Products01:29

Indeterminate Products

69
Indeterminate forms also arise in the evaluation of limits involving products, particularly when one factor approaches zero while the other tends to positive or negative infinity. This situation, commonly described as a zero-times-infinity form, does not have an immediately interpretable outcome. Depending on how the factors behave relative to one another, the limit of such a product may be zero, infinite, or a finite nonzero value.Product Limits and Algebraic RewritingTo analyze limits of this...
69
Dimensional Analysis01:23

Dimensional Analysis

2.3K
Dimensional analysis is a powerful tool that is used in physics and engineering to understand and predict the behavior of physical systems. The basic idea behind dimensional analysis is to express physical quantities in terms of fundamental dimensions such as the mass, length, and time. Derived dimensions like the velocity, acceleration, and force are derived from the combinations of these fundamental dimensions.
Dimensional analysis allows us to analyze and compare physical quantities on a...
2.3K

You might also read

Related Articles

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

Sort by
Same author

Point absorbers in Advanced LIGO.

Applied optics·2021
Same author

Numerical Approaches to Spacetime Singularities.

Living reviews in relativity·2017
See all related articles

Related Experiment Video

Updated: Mar 7, 2026

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

9.0K

Numerical Approaches to Spacetime Singularities.

Beverly K Berger1

  • 1Physics Department, Oakland University, Rochester, MI 48309 USA.

Living Reviews in Relativity
|February 14, 2017
PubMed
Summary
This summary is machine-generated.

Numerical exploration enhances understanding of black hole singularities. This review covers naked singularities, critical phenomena, and cosmic evolution, updating previous findings.

More Related Videos

Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

13.8K
Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.8K

Related Experiment Videos

Last Updated: Mar 7, 2026

Setting Limits on Supersymmetry Using Simplified Models
07:46

Setting Limits on Supersymmetry Using Simplified Models

Published on: November 15, 2013

9.0K
Studying Large Amplitude Oscillatory Shear Response of Soft Materials
06:07

Studying Large Amplitude Oscillatory Shear Response of Soft Materials

Published on: April 25, 2019

13.8K
Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns
13:44

Detection of Architectural Distortion in Prior Mammograms via Analysis of Oriented Patterns

Published on: August 30, 2013

43.8K

Area of Science:

  • * Astrophysics
  • * General Relativity
  • * Numerical Relativity

Background:

  • * Understanding the nature of singularities is crucial in astrophysics and cosmology.
  • * Previous reviews have laid the groundwork for numerical investigations.
  • * The formation and behavior of singularities remain key theoretical challenges.

Purpose of the Study:

  • * To provide an updated review of numerical investigations into the properties of singularities.
  • * To explore the potential of numerical methods for understanding physically realistic singularity scenarios.
  • * To discuss diverse examples of singularity research.

Main Methods:

  • * Numerical exploration of singularity properties.
  • * Analysis of critical behavior in gravitational collapse.
  • * Investigation of spacetime evolution through key horizons and chaotic regimes.

Main Results:

  • * Numerical studies offer detailed insights into singularity formation and characteristics.
  • * Critical phenomena in collapse and passage through the Cauchy horizon are numerically tractable.
  • * Chaos in the Mixmaster singularity and singularities in inhomogeneous cosmologies can be numerically investigated.

Conclusions:

  • * Numerical relativity is a powerful tool for probing the nature of singularities.
  • * Advances in computation allow for detailed study of complex singularity scenarios.
  • * This review highlights key areas where numerical exploration yields significant understanding.