Stress-energy tensor of an electromagnetic field in Schwarzschild spacetime

1997 ◽  
Vol 55 (2) ◽  
pp. 809-813 ◽  
Author(s):  
Jerzy Matyjasek
Keyword(s):  
Electromagnetic Field ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Schwarzschild Spacetime ◽  
Stress Energy

Relativistic Electrodynamics

2019 ◽  
pp. 229-266
Author(s):  
Richard Freeman ◽  
James King ◽  
Gregory Lafyatis
Keyword(s):  
Electromagnetic Field ◽  
Angular Momentum ◽  
Lagrangian Density ◽  
Free Particle ◽  
Energy Tensor ◽  
Hamiltonian Mechanics ◽  
Stress Energy Tensor ◽  
Stress Energy ◽  
Lagrangian And Hamiltonian Mechanics ◽  
Relativistic Electrodynamics

The concept of action is introduced using Lagrangian and Hamiltonian mechanics, and is used to describe the relativistic mechanics of a free particle: free particle canonical 4-momentum and angular momentum 4-tensor. The problem of a charged particle in an external field is considered in detail, resulting in the relativistic version of the Lorentz force law. The electromagnetic field is described using the action principle: The Lagrange density function and the recovery of Maxwell’s equations and charge conservation. The simplest Lagrangian density that can be constructed from a four-vector field is known as the “proca Lagrangian,” but it is shown to predict a massive photon. Finally, the canonical stress-energy tensor is derived along with conservation laws.

Introduction to Special Relativity

2019 ◽  
pp. 113-183
Author(s):  
Richard Freeman ◽  
James King ◽  
Gregory Lafyatis
Keyword(s):  
Electromagnetic Field ◽  
Special Relativity ◽  
Space Time ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Electric And Magnetic Fields ◽  
Stress Energy ◽  
Inertial Frames ◽  
History Of ◽  
A Charge

The history of experiments and the development of the concepts of special relativity is presented with an emphasis on Einstein’s postulates of relativity and the relativity of simultaneity. The development of the Lorentz transformations follows Einstein’s work in enunciating the principles of covariance among inertial frames. The mathematics of the geometry of space-time is presented using Miniowski’s space-time diagrams. In developing Einstein’s argument for the reality of special relativity consequences, two examples of apparent paradoxes with their resolution are given: the twin and connected rocket problems. The mathematics of 4-vectors is developed with explicit presentation of the 4-vector gradient, 4-vector velocity, 4-vector momentum, 4-vector force, 4-wavevector, 4-current density, and 4-potential. This section sums up with the manifest covariance of Maxwell’s equations, and the presentation of the electromagnetic field and Einstein stress-energy tensor. Finally, simple examples of electromagnetic field transformation are given: static electric and magnetic fields parallel and transverse to the velocity relating two inertial frames; and the transformation of fields from a charge moving at relativistic velocities.

scholarly journals Stress-energy tensor correlators from the world-sheet

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Hanno Bertle ◽  
Andrea Dei ◽  
Matthias R. Gaberdiel
Keyword(s):  
Vertex Operator ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
World Sheet ◽  
Stress Energy ◽  
The World

Abstract The large N limit of symmetric orbifold theories was recently argued to have an AdS/CFT dual world-sheet description in terms of an sl(2, ℝ) WZW model. In previous work the world-sheet state corresponding to the symmetric orbifold stress-energy tensor was identified. We calculate certain 2- and 3-point functions of the corresponding vertex operator on the world-sheet, and demonstrate that these amplitudes reproduce exactly what one expects from the dual symmetric orbifold perspective.

ON THE ELECTROMAGNETIC PERTURBATIONS OF A MULTICONICAL SPACETIME

1996 ◽  
Vol 11 (27) ◽  
pp. 2171-2177
Author(s):  
A.N. ALIEV
Keyword(s):  
Cosmic Strings ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Stress Energy ◽  
Electromagnetic Perturbations

The electromagnetic perturbations propagating in the multiconical spacetime of N parallel cosmic strings are described. The expression for vacuum average of the stress-energy tensor is reduced to a form involving only zero-spin-weighted perturbation modes.

Sign in / Sign up

Export Citation Format

Share Document