Relativistic forces in special and general relativity / Adrian Sfarti.

Format:

Book

Author/Creator:

Sfarti, Adrian, author.

Language:

English

Subjects (All):

Force and energy.

Mathematical physics.

Special relativity (Physics).

Physical Description:

1 online resource (331 pages)

Place of Publication:

Newcastle upon Tyne, UK : Cambridge Scholars Publishing, 2022.

Summary:

This book presents a generalization of transforms from the frames co-moving with an accelerated particle for uniform circular or linear motion into an inertial frame of reference. The solutions presented here will be of great interest for real-time applications because earth-bound laboratories are inertial only in approximation. The motivation behind this is that real life applications include accelerating and rotating frames with arbitrary orientations more often than the idealized case of inertial frames. The book is divided into three main sections: the first deals with the theory of dynamics, while the second section deals with the application of theory to the derivation of the relativistic fictitious forces (Coriolis, centrifugal and Euler) occurring in a rotating frame and D'Alembert for a linearly accelerated frame. The third section deals with the Thomas Wigner effect. This is the first book on the subject and it will be of great interest for physics students, physics professors, and engineers.

Contents:

Intro

Dedication

Contents

Preface

Covariant Treatment of Collisions in Particle Physics

Conservation Laws for Plasma Systems

Practical and Theoretical Methods for Determining the Trajectories for Particles Involved in Elastic Collisions

Relativistic Reflection Laws for Arbitrary Direction Boosts

The General Trajectories of Accelerated Particles in Special Relativity

The Paradoxical Case of Force-Acceleration Transformation in Relativity

Lorentz Covariant Formulation for the Laws of Physics - Particle and Elastic Body Dynamics

Coordinate Time Hyperbolic Motion Treatment for Bell's Spaceship Experiment

Rotating Frames Experiment for Direct Determination of Relativistic Length Contraction

Special Relativity Experiments Explained from the Perspective of the Rotating Frame

The Relativistic Trajectory of a Charged Particle in the Magnetic Field of an Infinite Length Current Carrying Wire

The Compton Scattering Experiment - the Electron Point of View

The Lorentz Force in Accelerated Frames

Relativistic Dynamics and Electrodynamics in Uniformly Accelerated and in Uniformly Rotating Frames

Relativistic Dynamics and Electrodynamics in Uniformly Accelerated and Uniformly Rotating Frames

Generalization of Coordinate Transformations between Accelerated and Inertial Frames

Generalization of the Thomas-Wigner Rotation to Uniformly Accelerating Boosts

The Relativistic Cyclotron Radiation in the Circular Rotating Frame of the Moving Heavy Particle

Relativistic d'Alembert Force in Uniformly Accelerating Frames

Relativistic Fictitious Forces from the Perspective of the Accelerated Rotating Platform

Relativistic Fictitious Forces in Accelerated Rotating Frames of Reference

Was Galileo Right?

The Two Test Probe Chase.

Application of the Euler Lagrange Formalism for Determining the Equation of Motion in the Case of Radial Fall into a Non-Rotating, Charged Black Hole

The Two Test Probe Chase to the Event Horizon of a Charged, Non-Rotating Black Hole

Euler-Lagrange Solution for Calculating Particle Orbits in Gravitational Fields

"Beyond Gravitoelectromagnetism: Critical Speed in Gravitational Motion" by B. Mashhoon.

Notes:

Description based on print version record.

Other Format:

Print version: Sfarti, Adrian Relativistic Forces in Special and General Relativity

ISBN:

9781527578524