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

4.6K
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...
4.6K
Rotational Motion about a Fixed Axis01:26

Rotational Motion about a Fixed Axis

1.5K
A rigid body's rotation around a fixed axis makes every point within it trace a circular path around a specific line or point. The term given to this type of spinning is defined by the angular position, symbolized by the angle θ. This angle is gauged from a static reference line to the revolving object. From this angular position, any variation is referred to as angular displacement, denoted by dθ. The extent of this displacement can be calculated in degrees, radians, or...
1.5K
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

974
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it...
974
Equation of Rotational Dynamics01:08

Equation of Rotational Dynamics

14.9K
Angular variables are introduced in rotational dynamics. Comparing the definitions of angular variables with the definitions of linear kinematic variables, it is seen that there is a mapping of the linear variables to the rotational ones. Linear displacement, velocity, and acceleration have their equivalents in rotational motion, which are angular displacement, angular velocity, and angular acceleration. Similar to the rotational variables, a mapping exists from Newton's second law of motion...
14.9K
Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

908
In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
908
Relating Angular And Linear Quantities - I01:09

Relating Angular And Linear Quantities - I

8.5K
If the rotational definitions are compared with the definitions of linear kinematic variables from motion along a straight line and motion in two and three dimensions, we can observe a mapping of the linear variables to the rotational ones.
When comparing the linear and rotational variables individually, the linear variable of position has physical units of meters, whereas the angular position variable has dimensionless units of radians, as it is the ratio of two lengths. The linear velocity...
8.5K

You might also read

Related Articles

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

Sort by
Same author

Black hole-neutron star coalescence: Effects of the neutron star spin on jet launching and dynamical ejecta mass.

Physical review. D. (2016)·2021
Same author

Gravitational waves from disks around spinning black holes: Simulations in full general relativity.

Physical review. D. (2016)·2021
Same author

General Relativistic Simulations of the Quasicircular Inspiral and Merger of Charged Black Holes: GW150914 and Fundamental Physics Implications.

Physical review letters·2021
Same author

Magnetorotational collapse of supermassive stars: Black hole formation, gravitational waves, and jets.

Physical review. D. (2016)·2018
Same author

Disks around merging binary black holes: From GW150914 to supermassive black holes.

Physical review. D. (2016)·2018
Same author

Gravitational wave content and stability of uniformly, rotating, triaxial neutron stars in general relativity.

Physical review. D. (2016)·2018

Related Experiment Video

Updated: Feb 17, 2026

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence
12:34

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

Published on: June 24, 2016

10.6K

Rotating stars in relativity.

Vasileios Paschalidis1,2, Nikolaos Stergioulas3

  • 1Theoretical Astrophysics Program, Departments of Astronomy and Physics, University of Arizona, Tucson, AZ 85721 USA.

Living Reviews in Relativity
|December 12, 2017
PubMed
Summary

This review covers the latest theoretical understanding of rotating relativistic stars, crucial for studying high-density matter and gravitational waves. New sections explore modified gravity, universal relations, and numerical relativity simulations.

Keywords:
Magnetic fieldsNumerical relativityOscillationsRelativistic starsRotationStability

More Related Videos

Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

10.1K
Controlled Rotation of Human Observers in a Virtual Reality Environment
09:11

Controlled Rotation of Human Observers in a Virtual Reality Environment

Published on: April 21, 2022

3.0K

Related Experiment Videos

Last Updated: Feb 17, 2026

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence
12:34

Methods for Measuring the Orientation and Rotation Rate of 3D-printed Particles in Turbulence

Published on: June 24, 2016

10.6K
Magnetically Induced Rotating Rayleigh-Taylor Instability
06:42

Magnetically Induced Rotating Rayleigh-Taylor Instability

Published on: March 3, 2017

10.1K
Controlled Rotation of Human Observers in a Virtual Reality Environment
09:11

Controlled Rotation of Human Observers in a Virtual Reality Environment

Published on: April 21, 2022

3.0K

Area of Science:

  • Astrophysics
  • General Relativity
  • Nuclear Physics

Background:

  • Rotating relativistic stars offer insights into the equation of state for ultra-dense matter.
  • These stars are significant sources of detectable gravitational waves.

Purpose of the Study:

  • To review the current theoretical understanding of rotating stars in relativity.
  • To incorporate recent advancements in equilibrium properties, oscillations, and instabilities.

Main Methods:

  • Theoretical analysis of equilibrium configurations.
  • Study of non-axisymmetric oscillations (f-modes, r-modes).
  • Inclusion of numerical relativity simulations (hydrodynamic and magnetohydrodynamic).

Main Results:

  • Updated equilibrium properties and stability analyses.
  • New insights into modified gravity theories and universal relationships.
  • Exploration of instabilities like the one-arm spiral instability.

Conclusions:

  • Rotating relativistic stars remain key objects for probing extreme physics.
  • Advancements in theoretical and numerical methods enhance our understanding of these systems.
  • Future research will benefit from these updated theoretical frameworks.