scholarly journals Separability of test fields equations on theC-metric background

2015 ◽  
Vol 92 (12) ◽  
Author(s):  
David Kofroň
Keyword(s):  
Fields Equations

scholarly journals General Relativity with a Positive Cosmological Constant Λ as a Gauge Theory

Axioms ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 24
Author(s):  
Marta Dudek ◽  
Janusz Garecki
Keyword(s):  
General Relativity ◽  
Gauge Theory ◽  
Cosmological Constant ◽  
Gauge Field ◽  
Geometrical Interpretation ◽  
Positive Cosmological Constant ◽  
Four Dimensions ◽  
Action Integral ◽  
Fields Equations

In this paper, we show that the general relativity action (and Lagrangian) in recent Einstein–Palatini formulation is equivalent in four dimensions to the action (and Langrangian) of a gauge field. First, we briefly showcase the Einstein–Palatini (EP) action, and then we present how Einstein fields equations can be derived from it. In the next section, we study Einstein–Palatini action integral for general relativity with a positive cosmological constant Λ in terms of the corrected curvature Ω c o r . We see that in terms of Ω c o r this action takes the form typical for a gauge field. Finally, we give a geometrical interpretation of the corrected curvature Ω c o r .

scholarly journals Quaternionic Approach to Dual Magnetohydrodynamics of Dyonic Cold Plasma

2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
B. C. Chanyal ◽  
Mayank Pathak
Keyword(s):  
Wave Equation ◽  
Cold Plasma ◽  
Maxwell Equations ◽  
Magnetic Monopoles ◽  
Alfven Wave ◽  
Vorticity Field ◽  
Field Equations ◽  
Continuity Equations ◽  
Fields Equations ◽  
Quaternionic Formulation

The dual magnetohydrodynamics of dyonic plasma describes the study of electrodynamics equations along with the transport equations in the presence of electrons and magnetic monopoles. In this paper, we formulate the quaternionic dual fields equations, namely, the hydroelectric and hydromagnetic fields equations which are an analogous to the generalized Lamb vector field and vorticity field equations of dyonic cold plasma fluid. Further, we derive the quaternionic Dirac-Maxwell equations for dual magnetohydrodynamics of dyonic cold plasma. We also obtain the quaternionic dual continuity equations that describe the transport of dyonic fluid. Finally, we establish an analogy of Alfven wave equation which may generate from the flow of magnetic monopoles in the dyonic field of cold plasma. The present quaternionic formulation for dyonic cold plasma is well invariant under the duality, Lorentz, and CPT transformations.

scholarly journals ERRATUM: A Center Manifold Result for Delayed Neural Fields Equations

2015 ◽  
Vol 47 (2) ◽  
pp. 1665-1670 ◽  
Author(s):  
Romain Veltz ◽  
Olivier Faugeras
Keyword(s):  
Center Manifold ◽  
Neural Fields ◽  
Fields Equations

scholarly journals SUPERHAMILTONIAN FORMALISM FOR 2D N=1, 2 THEORIES

1994 ◽  
Vol 09 (01) ◽  
pp. 51-66 ◽  
Author(s):  
E. IVANOV ◽  
F. TOPPAN
Keyword(s):  
Boundary Conditions ◽  
Light Cone ◽  
Hamiltonian Formalism ◽  
Natural Generalization ◽  
Poisson Brackets ◽  
Two Dimensional ◽  
Time Coordinate ◽  
Equal Footing ◽  
Fields Equations

We show how to formulate two-dimensional (2D) supersymmetric N=1, 2 theories, both massive and conformal, within a manifestly supersymmetric Hamiltonian framework, via the introduction of a (super)-Poisson brackets structure defined on superfields. In this approach, as distinct from the previously known superfield Hamiltonian formulations, the dynamics is not separated into two unrelated 2D light-cone superspaces, but is recovered by specifying boundary conditions at a given “super-time” coordinate. So the approach proposed provides a natural generalization of canonical Hamiltonian formalism. One of its interesting features is that the physical and auxiliary fields equations appear on equal footing as the Hamilton ones.

scholarly journals ACTIONS FOR VACUUM EINSTEIN'S EQUATION WITH A KILLING SYMMETRY

2003 ◽  
Vol 12 (10) ◽  
pp. 1961-1968 ◽  
Author(s):  
HAN HE ◽  
YONGGE MA ◽  
XUEJUN YANG
Keyword(s):  
Dimensional Space ◽  
Killing Vector ◽  
Three Dimensional ◽  
Killing Vector Field ◽  
Vacuum Einstein Equation ◽  
Einstein's Equation ◽  
Alternative Action ◽  
Fields Equations ◽  
Reduced Action ◽  
Three Dimensional Space

In a space–time M with a Killing vector field ξa which is either everywhere timelike or everywhere spacelike, the collection of all trajectories of ξa gives a three-dimensional space S. Besides the symmetry-reduced action from that of Einstein–Hilbert, an alternative action of the fields on S is also proposed which gives the same fields equations as those reduced from the vacuum Einstein equation on M.

scholarly journals A Center Manifold Result for Delayed Neural Fields Equations

2013 ◽  
Vol 45 (3) ◽  
pp. 1527-1562 ◽  
Author(s):  
Romain Veltz ◽  
Olivier Faugeras
Keyword(s):  
Center Manifold ◽  
Neural Fields ◽  
Fields Equations
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