Fetching the paper…
Reading the bibliography…
In this paper we are concerned to reveal that any spacetime structure <M,[g]<LaTeX>\slg</LaTeX>,D,{\tau}_{[sg]<LaTeX>\sslg</LaTeX>},\uparrow>, which is a model of a gravitational field in General Relativity generated by an energy-momentum tensor T --- and which contains at least one nontrivial Killing vector field A --- is such that the 2-form field F=dA (where A=[g]<LaTeX>\slg</LaTeX>(A,)) satisfies a Maxwell like equation --- with a well determined current that contains a term of the superconducting type--- which follows directly from Einstein equation.
Bergmann, P. G., Conservation Laws in General Relativity as the Generators of Coordinate Transformations, Phys. Rev . 112, 287-289 (1958)
1958
Earlier work this paper cites.
Komar, A., Covariant Conservation Laws in General Relativity, Phys. Rev
1958
Earlier work this paper cites.
Komar, A., Asymptotic Covariant Conservation Laws for Gravitational Radiation, Phys. Rev
1958
Earlier work this paper cites.
Flanders, Differential Forms with Applications to the Physical Sciences
1963
Earlier work this paper cites.
Papapetrou, A., Champs Gravitationnels Stationnaries à Symmétrie Axiale, Ann. de L’I. Henri Poincaré , section A 4,
1966
Earlier work this paper cites.
Geroch, R., Spinor Structure of Space-Times in General Relativity I, J. Math. Phys
1968
Earlier work this paper cites.
Weinberg, S., Gravitation and Cosmology
1972
Earlier work this paper cites.
Misner, C. W., Thorne, K. S., and Wheeler, J. A., Gravitation , W. H. Freeman. and Co., San Francisco, 1973
1973
Earlier work this paper cites.
Sánchez, M., Lorentzian Manifolds Admitting a Killing Vector Field, Nonlinear Analysis, Methods and Applications
1977
Earlier work this paper cites.
Sachs, R. K., and Wu, H., General Relativity for Mathematicians
1977
Earlier work this paper cites.
Wald, R. M., General Relativity , The University of Chicago Press, Chicago, 1984
1984
Cited alongside, same era.
Chorin, A. J., and Marsden, J. E., A Mathematical Introduction to Fluid Mechanics
1993
Cited alongside, same era.
Marmanis, H., Analogy Between the Navier-Stokes Equations and Maxwell Equations: Applications to Turbulence, Phys. of Fluids
1998
Cited alongside, same era.
Fayos, F. and Sopuerta, C. F., Consequences of a Killing Symmetry in Spacetime’s Local Structure, Class. Quant. Grav. 19
2002
Cited alongside, same era.
Mosna, R. A., Miralles, D., Jayme Vaz Jr., J., ℤ 2 \mathbb{Z}_{2} -gradings of Clifford algebras and Multivector Structures, J. Phys. A 36
2003
Cited alongside, same era.
2009
Later among the works it cites.
2010
Later among the works it cites.
Fernández, V.V. and Rodrigues, W. A. Jr., Gravitation as a Plastic Distortion of the Lorentz Vacuum
2010
Later among the works it cites.
2010
Later among the works it cites.
Rodrigues, W. A., Jr., Killing Vector Fields, Maxwell Equations and Lorentzian Spacetimes, Adv. Appl. Clifford Algebras
2010
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Sulaiman, A., Djun, T. P., and Handoko, L.T., Gauge Invariant Fluid Lagrangian and Its Application to Cosmology, J. Theor. Comput. Stud. 5
2006
Cited alongside, same era.
Rodrigues, W. A. Jr., and Capelas de Oliveira, E., The Many Faces of Maxwell, Dirac and Einstein Equations. A Clifford Bundle Approach
2007
Cited alongside, same era.
2008
Cited alongside, same era.
da Rocha, R., Rodrigues, W. A. Jr., Diffeomorphism Invariance and Local Lorentz Invariance. Adv. Appl. Clifford Alg. 18
2008
Cited alongside, same era.
2009
Cited alongside, same era.
Breedberg, I., Keller, C., Lysov, V., and Strominger, A., From Navier-Stokes to Einstein
Cited in the paper.
Cited in the paper.
Later among the works it cites.
2011
Closest in time.
Padmanabhan, T., The Hydrodynamics of Atoms of Spacetime: Gravitational Field Equations is Navier-Stokes Equation, Int. J. Mod. Phys. D 20
2011
Closest in time.
2012
Closest in time.