Gravitational acceleration in Minkowski space
type: Item
instance of: scholarly article
title: Gravitational acceleration in Minkowski space
zbMATH Open document ID: 0699.53074
DOI: 10.1016/0021-8928(88)90144-X
author: L. I. Sedov
published in: Journal of Applied Mathematics and Mechanics
publication date: 1988-01-01T00:00:00Z
review text: A reference frame is described using a time-like congruence K for which a corresponding canonical co-moving system of four-dimensional coordinates is introduced. Then the time coordinate is interpreted as the proper global time on the world lines K, while \(g_{\alpha 4}=u_{\alpha}\) \((\alpha =1,2,3\); \(u_{\alpha}\) being the four-velocity covector). Finally, a local relation between the Newtonian acceleration and the relativistic one, is established, which has in general a non-holonomic nature.
Mathematics Subject Classification ID: 53B50
Mathematics Subject Classification ID: 83A05
zbMATH DE Number: 4147049
zbMATH Keywords: reference frame
zbMATH Keywords: time coordinate
zbMATH Keywords: world lines
zbMATH Keywords: Newtonian acceleration
reviewed by: Nikolai V. Mitskievich
MaRDI profile type: Publication
cites work: Q3794854
cites work: On the nature of time, space and gravitation
cites work: Q3334584
cites work: Q3689842
full work available at URL: 0021-8928(88)90144-x
OpenAlex ID: W2316140241
Recommended article: Q3822816
Recommended article: Inertial acceleration in general relativity
Recommended article: Uniform acceleration in general relativity
Recommended article: Q5250119
Recommended article: Minkowski space as a basis for a physical theory of gravitation
Recommended article: Relativistic gravitational force
Recommended article: Poincaré gauge invariance and gravitation in Minkowski spacetime
Recommended article: Research of gravitation in flat Minkowski space
Recommended article: Accelerating relativistic reference frames in Minkowski space-time
Recommended article: On accelerated inertial frames in gravity and electromagnetism
description: scientific article; zbMATH DE number 4147049