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 Law: Planar Symmetry01:27

Gauss's Law: Planar Symmetry

7.6K
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...
7.6K
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
Gauss's Law: Spherical Symmetry01:26

Gauss's Law: Spherical Symmetry

7.2K
A charge distribution has spherical symmetry if the density of charge depends only on the distance from a point in space and not on the direction. In other words, if the system is rotated, it doesn't look different. For instance, if a sphere of radius R is uniformly charged with charge density ρ0, then the distribution has spherical symmetry. On the other hand, if a sphere of radius R is charged so that the top half of the sphere has a uniform charge density ρ1 and the bottom half has...
7.2K
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
Gravity between Spherical Bodies01:27

Gravity between Spherical Bodies

7.2K
Newton's law of gravitation describes the gravitational force between any two point masses. However, for extended spherical objects like the Earth, the Moon, and other planets, the law holds with an assumption that masses of spherical objects are concentrated at their respective centers.
This assumption can be proved easily by showing that the expression for gravitational potential energy between a hollow sphere of mass (M) and a point mass (m) is the same as it would be for a pair of extended...
7.2K
Gravitation Between Spherically Symmetric Masses01:14

Gravitation Between Spherically Symmetric Masses

1.5K
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.
1.5K

You might also read

Related Articles

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

Sort by
Same author

Analytic Discrete Self-Similar Solutions of Einstein-Klein-Gordon at Large D.

Physical review letters·2026
Same author

Boundary Carrollian Conformal Field Theories and Open Null Strings.

Physical review letters·2025
Same author

Carroll geodesics.

The European physical journal. C, Particles and fields·2024
Same author

Spacetime Structure near Generic Horizons and Soft Hair.

Physical review letters·2020
Same author

Local Quantum Energy Conditions in Non-Lorentz-Invariant Quantum Field Theories.

Physical review letters·2019
Same author

Entanglement entropy in Galilean conformal field theories and flat holography.

Physical review letters·2015

Related Experiment Video

Updated: May 1, 2026

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Published on: February 8, 2014

11.5K

Conformal gravity holography in four dimensions.

Daniel Grumiller1, Maria Irakleidou1, Iva Lovrekovic1

  • 1Institute for Theoretical Physics, Vienna University of Technology, Wiedner Hauptstrasse 8-10/136, A-1040 Vienna, Austria.

Physical Review Letters
|April 8, 2014
PubMed
Summary
This summary is machine-generated.

We developed a new four-dimensional conformal gravity model with weaker boundary conditions, enabling novel solutions like black holes with partially massless hair. This advances understanding of gravity at large distances.

More Related Videos

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM
07:27

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM

Published on: November 1, 2017

9.8K
Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization
10:28

Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization

Published on: July 5, 2016

9.5K

Related Experiment Videos

Last Updated: May 1, 2026

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects
10:16

Digital Inline Holographic Microscopy DIHM of Weakly-scattering Subjects

Published on: February 8, 2014

11.5K
Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM
07:27

Quantifying Microorganisms at Low Concentrations Using Digital Holographic Microscopy DHM

Published on: November 1, 2017

9.8K
Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization
10:28

Compact Lens-less Digital Holographic Microscope for MEMS Inspection and Characterization

Published on: July 5, 2016

9.5K

Area of Science:

  • Theoretical physics
  • Quantum gravity
  • String theory

Background:

  • Conformal gravity theories describe gravity using symmetries.
  • Standard boundary conditions in (anti-)de Sitter space can be restrictive.
  • Recent models explore gravity at large distances with modified conditions.

Purpose of the Study:

  • To formulate a four-dimensional conformal gravity theory with relaxed boundary conditions.
  • To investigate the implications of these weaker boundary conditions for solutions.
  • To derive and analyze holographic response functions within this framework.

Main Methods:

  • Formulation of four-dimensional conformal gravity with (anti-)de Sitter boundary conditions.
  • Proof of the consistency of the variational principle.
  • Derivation of holographic response functions, including a conformal gravity version of the Brown-York stress tensor and a partially massless response.
  • Analysis of the on-shell action and response functions for finiteness without holographic renormalization.

Main Results:

  • A consistent formulation of four-dimensional conformal gravity with weaker boundary conditions than Starobinsky's.
  • Inclusion of an asymptotically subleading Rindler term.
  • Finite on-shell action and response functions, obviating the need for holographic renormalization.
  • Identification of a novel "partially massless response" function.

Conclusions:

  • The developed conformal gravity framework is consistent and yields finite results.
  • The weaker boundary conditions allow for new, phenomenologically interesting solutions.
  • This work opens avenues for studying black holes with exotic properties, such as partially massless hair.