scholarly journals Unified Theory of Gravity and Electromagnetic Field

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Electromagnetic Field ◽  
Unified Theory ◽  
Tensor Equation ◽  
Metric Tensor ◽  
Theory Of Gravity

Solutions of unified theory equations of gravity and electromagnetism satisfy Einstein-Maxwellequation. Hence, solutions of the unified theory is Reissner-Nodstrom solution in vacuum. We found in revisedEinstein gravity tensor equation, the condition is satisfied by 2-order contravariant metric tensor two timesproduct.

scholarly journals Unified Theory of Gravity and Electromagnetic Field in Reissner-Nodstrom Solution, Kerr-Newman Solution

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Electromagnetic Field ◽  
Einstein Gravity ◽  
Unified Theory ◽  
Tensor Equation ◽  
Constant Matrix ◽  
Metric Tensor ◽  
Theory Of Gravity

Solutions of unified theory equations of gravity and electromagnetism satisfy Einstein-Maxwellequation. Hence, solutions of the unified theory is Reissner-Nordstrom solution in vacuum. We found inrevised Einstein gravity tensor equation, the condition is satisfied by 2-order contravariant metric tensor twotimes product, the constant matrix.

scholarly journals Gauss Symbol and Unified Theory of Gravity and Electromagnetic Field in Reissner-Nordstrom and Kerr-Newman

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Electromagnetic Field ◽  
Einstein Gravity ◽  
Unified Theory ◽  
Tensor Equation ◽  
Metric Tensor ◽  
Theory Of Gravity

Solutions of unified theory equations of gravity and electromagnetism satisfy Einstein-Maxwellequation. Hence, solutions of the unified theory is Reissner-Nordstrom solution in vacuum. We found inrevised Einstein gravity tensor equation, the condition is satisfied by 2-order contravariant metric tensor twotimes product and Gauss symbol.

scholarly journals Unified Theory of Gravity and Electromagnetic Field with Problem in Reissner-Nordstrom and Kerr-Newman Solution

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Electromagnetic Field ◽  
Ricci Tensor ◽  
Unified Theory ◽  
Tensor Equation ◽  
Metric Tensor ◽  
Left Hand ◽  
Right Hand ◽  
Theory Of Gravity

Solutions of unified theory equations of gravity and electromagnetism satisfy Einstein-Maxwellequation. Hence, solutions of the unified theory is Reissner-Nordstrom solution in vacuum. We found in revisedEinstein gravity tensor equation, the condition is satisfied by 2-order contravariant metric tensor two timesproduct. In theory, the problem that the special Ricci tensor have two value term is solved by two orientationof rotating (right hand and left hand).

scholarly journals Unification for Gravity and Electromagnetic Field in Kerr Newman Solution

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Electromagnetic Field ◽  
Einstein Gravity ◽  
Unified Theory ◽  
Tensor Equation ◽  
Constant Matrix ◽  
Metric Tensor

Solutions of unified theory equations of gravity and electromagnetism has to satisfy Einstein-Maxwellequation. Specially, solution of the unified theory is generally Kerr-Newman solution in vacuum. We finallyfound the revised Einstein gravity tensor equation with new term (2-order contravariant metric tensor two timesproduct and the constant matrix) is right in Kerr-Newman solution.

scholarly journals Gauss Symbol and Unification of Gravity and Electromagnetic Field in Reissner-Nordstrom and Kerr-Newman Solution

2021 ◽  
Author(s):  
Sangwha Yi
Keyword(s):  
Electromagnetic Field ◽  
Gravity Field ◽  
Energy Momentum Tensor ◽  
Einstein Gravity ◽  
Momentum Tensor ◽  
Unified Theory ◽  
Tensor Equation ◽  
Metric Tensor

Solutions of unified theory equations of gravity and electromagnetism satisfy Einstein-Maxwellequation. Hence, solutions of the unified theory is Reissner-Nordstrom solution, Kerr-Newman solution invacuum. In this careful point, Einstein gravity field equation’s energy-momentum tensor has two sign.Therefore, according to the solution, the sign is treated. We found in revised Einstein gravity tensor equation,the condition is satisfied by 2-order contravariant metric tensor two times product and Gauss symbol..

scholarly journals Geodesies of an affine connection and electromagnetism with radiation reaction

1971 ◽  
Vol 4 (2) ◽  
pp. 225-240 ◽  
Author(s):  
R.R. Burman
Keyword(s):  
Electromagnetic Field ◽  
Affine Connection ◽  
Radiation Reaction ◽  
External Electromagnetic Field ◽  
Geodesic Equation ◽  
Conformally Flat ◽  
Metric Tensor ◽  
Special Cases ◽  
Test Charge ◽  
Point Test

This paper deals with the motion of a point test charge in an external electromagnetic field with the effect of electromagnetic radiation reaction included. The equation of motion applicable in a general Riemannian space-time is written as the geodesic equation of an affine connection. The connection is the sum of the Christoffel connection and a tensor which depends on, among other things, the external electromagnetic field, the charge and mass of the particle and the Ricci tensor. The affinity is not unique; a choice is made so that the covariant derivative of the metric tensor with respect to the connection vanishes. The special cases of conformally flat spaces and the space of general relativity are discussed.

scholarly journals THE MAXWELL LAGRANGIAN IN PURELY AFFINE GRAVITY

2008 ◽  
Vol 23 (03n04) ◽  
pp. 567-579 ◽  
Author(s):  
NIKODEM J. POPŁAWSKI
Keyword(s):  
Electromagnetic Field ◽  
Ricci Tensor ◽  
Maxwell Equations ◽  
Legendre Transformation ◽  
Conformal Transformations ◽  
Field Tensor ◽  
Metric Tensor ◽  
Hamiltonian Density ◽  
Electromagnetic Field Tensor ◽  
Affine Gravity

The purely affine Lagrangian for linear electrodynamics, that has the form of the Maxwell Lagrangian in which the metric tensor is replaced by the symmetrized Ricci tensor and the electromagnetic field tensor by the tensor of homothetic curvature, is dynamically equivalent to the Einstein–Maxwell equations in the metric–affine and metric formulation. We show that this equivalence is related to the invariance of the Maxwell Lagrangian under conformal transformations of the metric tensor. We also apply to a purely affine Lagrangian the Legendre transformation with respect to the tensor of homothetic curvature to show that the corresponding Legendre term and the new Hamiltonian density are related to the Maxwell–Palatini Lagrangian for the electromagnetic field. Therefore the purely affine picture, in addition to generating the gravitational Lagrangian that is linear in the curvature, justifies why the electromagnetic Lagrangian is quadratic in the electromagnetic field.

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