Related Experiment Video
Updated: Aug 6, 2026
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 15, 2013
Nonlinear supergravity on a brane without compactification
Physical Review Letters
|October 4, 2000
Summary
Smooth domain wall spacetimes with scalar fields admit a single graviton bound state. This nonlinear supergravity analysis of the Randall-Sundrum model reveals Kaluza-Klein modes generating bulk singularities.
Area of Science:
- Theoretical Physics
- High Energy Physics
- String Theory
Background:
- Domain wall spacetimes are crucial in theoretical physics for understanding gravity and extra dimensions.
- The Randall-Sundrum model provides a framework for warped extra dimensions.
- Scalar fields play a significant role in constructing cosmological models and gravitational theories.
Purpose of the Study:
- To investigate the existence of graviton bound states in smooth domain wall spacetimes.
- To perform a fully nonlinear supergravity analysis of the Randall-Sundrum model.
- To explore the implications of Kaluza-Klein modes and potential singularities.
Main Methods:
- Analysis of smooth domain wall spacetimes supported by a scalar field.
- Application of fully nonlinear supergravity techniques.
- Investigation of solutions describing pp-wave propagation in domain wall backgrounds.
- Examination of Bogomol'nyi-Prasad-Sommerfeld (BPS) states for supersymmetry preservation.
Main Results:
- Demonstration of a single graviton bound state in these spacetimes.
- Characterization of solutions as pp-waves in the domain wall background.
- Identification of retained supersymmetry for BPS domain walls.
- Discovery of Kaluza-Klein modes generating "pp curvature" singularities in the bulk.
Conclusions:
- Smooth domain wall spacetimes can support graviton bound states.
- The Randall-Sundrum model, under nonlinear supergravity, exhibits complex bulk phenomena.
- Singularities arise from Kaluza-Klein modes, impacting the spacetime structure near anti-de Sitter horizons.
Related Concept Videos
01:27Gravity between Spherical Bodies
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...
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...
01:21Schwarzschild 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...
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...
01:17Space-Time Curvature and the General Theory of Relativity
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 motion,...
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 motion,...
01:18Moment of a Force: Scalar Formulation
The moment of a force, also known as torque, measures the ability of the force to create rotational motion in a body about an axis. It is a vector quantity, meaning it has both magnitude and direction. This concept is used extensively in engineering, physics, and mechanics.
Consider a simple example of a flywheel being rotated about a point, O, by applying a force to it. In this case, the moment arm is the perpendicular distance between the point O and the line of action of the force. The...
Consider a simple example of a flywheel being rotated about a point, O, by applying a force to it. In this case, the moment arm is the perpendicular distance between the point O and the line of action of the force. The...
01:14Gravitation 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.
01:17The Principle of Superposition and the Gravitational Field
The principle of superposition applies to gravitational forces of objects that are sufficiently far apart. It states that the net gravitational force on a point object is the vector sum of the gravitational forces on it due to various objects. The principle helps calculate the force by listing the individual forces and then vectorially summing them up. However, it should be noted that the principle of superposition is not always apparent. In the presence of a second force, the first force could...