scholarly journals Structure of the compact astrophysical objects in the conformally-unimodular metric

2020 ◽  
pp. 97-111
Author(s):  
Sergey L. Cherkas ◽  
Vladimir L. Kalashnikov
Keyword(s):  
Decisive Role ◽  
Unified Field Theory ◽  
Unified Field ◽  
Static Object ◽  
Spherically Symmetric Solution ◽  
Astrophysical Objects ◽  
Gauge Fixing ◽  
Radial Geodesic ◽  
The Masses ◽  
Physical Phenomena

A spherically symmetric solution for a gravitational field is considered in the conformally-unimodular metric. The reason for the study of this particular gauge (i. e., conformally-unimodular metric) is its relation to the vacuum energy problem. That aim connects it to other physical phenomena (including black holes), and one could argue that they should be considered in this particular class of metrics. As the vacuum solutions, so the incompressible liquid ones are investigated. In the last case, the nonsingular «eicheon» appears as a non-point compact static object that possessed different masses and structures. Such objects are a final product of the stellar collapse, with the masses exceeding the Tolman – Oppenheimer – Volkoff limit. The term «eicheon» refers to the fundamental G. Weyl’s paper «Gravitation und Elektrizität», published, in particular in the book «Das Relativitätsprinzip. Eine Sammlung von Originalarbeiten zur Relativitätstheorie Einsteins» (Berlin, 2018), where he introduced the concept of gauge invariance (German Eichtheorie) firstly in its relation to the unified field theory. Using this term to describe the compact nonsingular astrophysical objects emphasizes the decisive role of the gauge fixing by the unimodular metric. Besides, the connotation with Eichel (acorn) stresses the twofold internal structure of an object: as a point-like in the unimodular metric and a surface in the Schwarzschild one. The radial geodesic lines are investigated in the conformally-unimodular metric, as well.

The General Static Spherically Symmetric Solution of the "Weak" Unified Field Equations

1962 ◽  
Vol 14 ◽  
pp. 568-576 ◽  
Author(s):  
J. R. Vanstone
Keyword(s):  
Ricci Tensor ◽  
Spherically Symmetric ◽  
Dimensional Manifold ◽  
Unified Field Theory ◽  
Field Equations ◽  
Unified Field ◽  
Spherically Symmetric Solution ◽  
Geometric Objects ◽  
Symmetric Connection ◽  
Image Position

In 1947 Einstein and Strauss (2) proposed a unified field theory based on a four-dimensional manifold characterized by a nonsymmetric tensor gij and a non-symmetric connection , where(1)Using a variational principle in which gij and are independently varied, the above authors obtain the equivalent of the following field equations:(2a)(2b)In these equations a comma denotes partial differentiation with respect to the co-ordinates of the manifold, Wij is the Ricci tensor formed from and the notationfor the symmetric and skew-symmetric parts of geometric objects Q is employed.

The general static spherically symmetric solution in Einstein’s unified field theory

1952 ◽  
Vol 210 (1102) ◽  
pp. 427-434 ◽  
Keyword(s):  
Magnetic Field ◽  
Electric Field ◽  
Spherically Symmetric ◽  
Unified Field Theory ◽  
Singular Surfaces ◽  
Field Equations ◽  
Unified Field ◽  
Spherically Symmetric Solution ◽  
Spherically Symmetric Solutions ◽  
Static Spherically Symmetric Solutions

The static spherically symmetric solutions of Einstein’s unified field equations previously given refer to an electric field alone or to a magnetic field alone. The general solutions in the case where both types of field exist together are now derived. After appropriate boundary conditions have been applied, the solutions may be interpreted to represent a magnetic field arising from a point pole, and an electric field arising from a dispersed charge distribution, but tending asymptotically to that of a point charge. The solutions have an infinity of singular surfaces, contain no arbitrary constant corresponding to the mass of the system, and in them the charge distributions contain both positive and negative electricity at different places. It appears that the only static spherically symmetric solutions likely to have any physical significance are certain of those referring to an electric field alone.

scholarly journals Unified Field Theory

2013 ◽  
Vol 4 ◽  
pp. 87-90
Author(s):  
Parashu Ram Poudel
Keyword(s):  
Field Theory ◽  
Clean Energy ◽  
Time Travel ◽  
Unified Theory ◽  
Unified Field Theory ◽  
Unified Field ◽  
Central Tenet ◽  
Modern Physics ◽  
Physical Phenomena

Unified field theory is the long-sought means of tying together all known phenomena to explain the nature and behaviour of all matter and energy in existence. The quest for unification has been the perennial theme of modern physics. The belief that all physical phenomena can be reduced to simple and explained by a smaller number of laws is the central tenet of physics. Such a theory could potentially unlock all the secrets of nature and make a myriad of wonders possible, including such benefits as time travel and an inexhaustible source of clean energy, among many others. This paper aims to explain unified theory and its development towards the unification of four interactions in brief.The Himalayan Physics Vol. 4, No. 4, 2013 Page:87-90 Uploaded date: 12/23/2013 

A unified field theory of gravitation and electromagnetism

1962 ◽  
Vol 270 (1343) ◽  
pp. 501-516 ◽  
Keyword(s):  
Electromagnetic Field ◽  
Field Approximation ◽  
Weak Field ◽  
Unified Field Theory ◽  
Field Equations ◽  
Action Function ◽  
Metric Tensor ◽  
Simple Modification ◽  
Unified Field ◽  
Spherically Symmetric Solution

The field equations of the theory are obtained by applying the usual variational principle to a scalar density action function constructed from a symmetrical metric tensor and a symmetrical affine connexion. The equations involve a four-dimensional curl which is identified as the electromagnetic field tensor. By rewriting the field equations it is shown that the theory is equivalent to a simple modification of the Born-Infeld theory. The modification is sufficient to destroy the symmetry between magnetostatics and electrostatics and prevents the existence of solutions corresponding to magnetic poles. Two different formulations of the theory are found, one involving electromagnetic potentials and the other involving only the electromagnetic field. Some aspects of the static spherically symmetric solution are discussed and the field equations are examined in a weak field approximation.

Static spherically symmetric solutions in Einstein’s unified field theory

1951 ◽  
Vol 209 (1098) ◽  
pp. 353-368 ◽  
Keyword(s):  
Charge Density ◽  
Point Charge ◽  
Spherically Symmetric ◽  
Constant Sign ◽  
Unified Field Theory ◽  
Magnetic Pole ◽  
Field Equations ◽  
Unified Field ◽  
Spherically Symmetric Solution ◽  
Magnetic Case

A new static spherically symmetric solution of Einstein’s unified field equations is derived. Certain boundary conditions are applied to this solution and to those already known, and the nature of the resulting fields is investigated. The only solution in the magnetic case corresponds to a magnetic pole without mass. In the electric case all the solutions correspond to continuous charge distributions, and the fields tend asymptotically to that of a point charge in classical theory. Several of the solutions are singular at an infinity of values of r , the radial co-ordinate, and in these the charge density is not of constant sign; but there are two solutions which have no singularities for finite values of r greater than 2 m (where m is a constant associated with the mass), and in which the charge density has constant sign throughout the field.

Unification of Gauge Forces and Gravity using Tangled Vortex Knots and Entanglement Dynamics

2020 ◽  
Author(s):  
Mrittunjoy Guha Majumdar
Keyword(s):  
Field Theory ◽  
Short Range ◽  
Gauge Fields ◽  
Entanglement Dynamics ◽  
Unified Field Theory ◽  
Linear Dynamics ◽  
Unified Field ◽  
The Standard Model ◽  
Theory Of Everything ◽  
The Continuum

In this paper, the statistics of excitation-tangles in a postulated background ideal-superfluid field is studied. The structure of the Standard Model is derived in terms of tangle vortex-knots and soliton. Gravity is observed in terms of torsion and curvature in the continuum. In this way, non-linear dynamics and excitations give rise to a unified field theory as well as a Theory of Everything. As a result of this unification, spacetime and matter are shown to be fundamentally equivalent, while gauge fields arise from reorientation and excitations of the the fundamental underlying field. Finally, the equivalence of topological and quantum entanglement is explored to posit a theory of everything in terms of long- and short-range entanglement between fundamental quantum units (bits) of information.

scholarly journals An Assessment of Evans’ Unified Field Theory II

2007 ◽  
Vol 38 (1) ◽  
pp. 38-46 ◽  
Author(s):  
Friedrich W. Hehl ◽  
Yuri N. Obukhov
Keyword(s):  
Field Theory ◽  
Unified Field Theory ◽  
Unified Field
Sign in / Sign up

Export Citation Format

Share Document