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

2015 ◽  
Vol 92 (12) ◽  
Author(s):  
David Kofroň
Keyword(s):  
Axioms ◽  
2019 ◽  
Vol 8 (1) ◽  
pp. 24
Author(s):  
Marta Dudek ◽  
Janusz Garecki

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 .


2018 ◽  
Vol 2018 ◽  
pp. 1-13 ◽  
Author(s):  
B. C. Chanyal ◽  
Mayank Pathak

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.


2015 ◽  
Vol 47 (2) ◽  
pp. 1665-1670 ◽  
Author(s):  
Romain Veltz ◽  
Olivier Faugeras

1994 ◽  
Vol 09 (01) ◽  
pp. 51-66 ◽  
Author(s):  
E. IVANOV ◽  
F. TOPPAN

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.


2003 ◽  
Vol 12 (10) ◽  
pp. 1961-1968 ◽  
Author(s):  
HAN HE ◽  
YONGGE MA ◽  
XUEJUN YANG

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.


2013 ◽  
Vol 45 (3) ◽  
pp. 1527-1562 ◽  
Author(s):  
Romain Veltz ◽  
Olivier Faugeras

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