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Published in 2019 at "Journal of Nonlinear Science"
DOI: 10.1007/s00332-018-9527-1
Abstract: For a stationary and axisymmetric spacetime, the vacuum Einstein field equations reduce to a single nonlinear PDE in two dimensions called the Ernst equation. By solving this equation with a Dirichlet boundary condition imposed along…
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Keywords:
disk;
neumann boundary;
value problem;
stationary axisymmetric ... See more keywords
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Published in 2021 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-021-02840-0
Abstract: In this article, we consider a scenario in which a spin-1/2 quanton goes through a superposition of co-rotating and counter-rotating circular paths, which play the role of the paths of a Mach-Zehnder interferometer in a…
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Keywords:
stationary axisymmetric;
axisymmetric spacetimes;
effect stationary;
interferometric visibility ... See more keywords
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Published in 2020 at "Physical Review D"
DOI: 10.1103/physrevd.102.124017
Abstract: The extended scalar-tensor and vector-tensor theories admit black hole solutions with the nontrivial profiles of the scalar and vector fields, respectively. The disformal transformation maps a solution in a class of the scalar-tensor or vector-tensor…
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Keywords:
tensor;
scalar tensor;
stationary axisymmetric;
tensor theories ... See more keywords
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Published in 2021 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887821501218
Abstract: In this paper we consider homothetic Killing vectors in the class of stationary axisymmetric vacuum (SAV) spacetimes, where the components of the vectors are functions of the time and radial coordinates. In this case the…
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Keywords:
vectors stationary;
stationary axisymmetric;
homothetic killing;
axisymmetric vacuum ... See more keywords