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Einstein Equations and their Linearization
In many applications, we seek the unknown function. Fortunately, it is good enough to approximate it as a linear combination of basis functions....
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On Derivation of Vlasov–Maxwell–Einstein Equations from the Principle of Least Action, the Hamilton–Jacobi Method, and the Milne–McCrea Model
AbstractIn classical texts equations for gravitation and electromagnetic fields are proposed without deriving their right-hand sides [1–4]. In this...
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The Constraint Equations of the Einstein-Vlasov-Maxwell System in the Maximal-isotropic Coordinates
In this paper we prove the existence of initial data satisfying the constraint equations corresponding to the 1+3 formulation of asymptotically flat...
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Generalized bilateral inverses of tensors via Einstein product with applications to singular tensor equations
In this paper, a unified approach for various extended inverses of tensors, the generalized bilateral inverse of tensors via Einstein products , is...
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Conformal Dirac–Einstein equations on manifolds with boundary.
In this paper we study Dirac–Einstein equations on manifolds with boundary, restricted to a conformal class with constant boundary volume, under...
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Einstein
Si è precedentemente discusso – in 7.2 – l’interazione scientifica tra Einstein e Levi-Civita, il loro scambio epistolare del 1915. Qui giriamo...
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Correction to: Existence of nontopological solutions of the self-dual Einstein-Maxwell-Higgs equations on compact surfaces
Regarding the article, “Existence of nontopological solutions of the self-dual Einstein–Maxwell–Higgs equations on compact surfaces”, [Calculus of...
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Levi-Civita simplifies Einstein. The Ricci rotation coefficients and unified field theories
This paper concerns late 1920 s attempts to construct unitary theories of gravity and electromagnetism. A first attempt using a non-standard...
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Exact Solutions of Einstein–Maxwell(-Dilaton) Equations with Discrete Translational Symmetry
The aim of this work is to construct exact solutions of Einstein–Maxwell(-dilaton) equations possessing a discrete translational symmetry. We present...
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On Symmetries and Conservation Laws of Einstein–Maxwell Equations for Non-static Cylindrical Symmetric Metric
In this paper, Einstein–Maxwell equations for non-static cylindrical symmetric metric are investigated to find Lie’s infinitesimal symmetries. The...
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Vaisman manifolds and transversally Kähler–Einstein metrics
We use the transverse Kähler–Ricci flow on the canonical foliation of a closed Vaisman manifold to deform the Vaisman metric into another Vaisman...
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Einstein Type Curvature Tensors and Einstein Type Tensors of Generalized Riemannian Space in the Eisenhart Sense
By using decomposition of curvature tensors of generalized Riemannian space in the Eisenhart sense, the Einstein type curvature tensors and Einstein...
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Einstein-like metrics on compact homogeneous spaces
In this paper, we study Einstein-like metrics on compact homogeneous spaces G / H . In the beginning, we give a characterization of Einstein-like...
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Characterizations of weakly conformally flat and quasi Einstein manifolds
First, we show that a warped product of a line with a Riemannian manifold (fiber) is weakly conformally flat and quasi Einstein if and only if the...
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Ricci Almost Solitons and Generalized Quasi-Einstein Manifolds
This chapter gives a coverage on Ricci almost soliton and its characterization and classification when it is compact, or contact metric. Next, it...
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Dynamics of Two Vortex Rings in a Bose – Einstein Condensate
In this paper, we consider the dynamics of two interacting point vortex rings in a Bose – Einstein condensate. The existence of an invariant manifold...
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Albert Einstein, the Kinematics of Special Relativity
In classical kinematics the motion of an object is a function from a time-axis to the set of possible positions of the object in space. Time is...
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A Construction of Einstein Solvmanifolds not Based on Nilsolitons
We construct indefinite Einstein solvmanifolds that are standard, but not of pseudo-Iwasawa type. Thus, the underlying Lie algebras take the form
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