General form of the Einstein equations for a Bianchi type IX universe
Einstein equations for Bianchi type IX universe model suitable for numerical solution and application to cosmology with pure fluid stress tensor
Ryan, M. P., Jr.↗
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Spaces of type III solutions of the Maxwell- Einstein equations
Type 3 spaces solutions of Maxwell-Einstein equations, examining singular and nonsingular electromagnetic field problems
Cahen, M.↗
Exact solutions of Einstein-Maxwell equations.
Exact solutions of Einstein-Maxwell equation of Petrov class N when propagation vector of gravitational field is hypersurface orthogonal
MAXWELL EQUATION↗
Homogeneous solutions of the einstein-maxwell equations.
Homogeneous solution of Einstein-Maxwell equations assuming invariant space-time metric and electromagnetic field
MAXWELL EQUATION↗
Taub-NUT space as a counterexample to almost anything Technical report no. 529
Taub-NUT space as countermeasure to almost anything - Einstein equation, classical mechanics, and differential equations
DIFFERENTIAL EQUATION↗
Spherical Harmonic Decomposition of Gravitational Waves Across Mesh Refinement Boundaries
We evolve a linearized (Teukolsky) solution of the Einstein equations with a non-linear Einstein solver. Using this testbed, we are able to show that such gravitational waves, defined by the Weyl scalars in the Newman-Penrose formalism, propagate faithfully across mesh refinement boundaries, and use, for the first time to our knowledge, a novel algorithm due to Misner to compute spherical harmonic components of our waveforms. We show that the algorithm performs extremely well, even when the extraction sphere intersects refinement boundaries.
Fiske, David R.↗
Mach's principle as boundary condition for Einstein's field equations
Mach principle as boundary condition for Einstein field equations
Wheeler, J. A.↗
A moving body must ''appear'' cool.
Evaluating accuracy of substitute term in Einstein equation, noting inconsistency with zero and second law of thermodynamics
TEMPERATURE MEASUREMENT↗
All homogeneous solutions of einstein's field equations with incoherent matter and electromagnetic radiation.
All homogeneous solutions of Einstein field equations with incoherent matter and null electromagnetic field
EINSTEIN EQUATION↗
New homogeneous solutions of einstein's field equations with incoherent matter obtained by a spinor technique.
Solution of Einstein field equations with incoherent matter for homogeneous space-time case using spinor technique, including Goedel theorem proof
EINSTEIN EQUATION↗
Method of the self-consistent field in general relativity and its application to the gravitational geon.
Free-space einstein equations for concentrations of radiation held together by gravitational attraction, investigating gravity wave perturbations on background metric
GRAVITATIONAL FIELD↗
Interface Conditions for Wave Propagation Through Mesh Refinement Boundaries
We study the propagation of waves across fixed mesh refinement boundaries in linear and nonlinear model equations in 1-D and 2-D, and in the 3-D Einstein equations of general relativity. We demonstrate that using linear interpolation to set the data in guard cells leads to the production of reflected waves at the refinement boundaries. Implementing quadratic interpolation to fill the guard cells eliminates these spurious signals.
Choi, Dae-II↗
High-frequency sound waves to eliminate a horizon in the mixmaster universe.
From the linear wave equation for small-amplitude sound waves in a curved space-time, there is derived a geodesiclike differential equation for sound rays to describe the motion of wave packets. These equations are applied in the generic, nonrotating, homogeneous closed-model universe (the 'mixmaster universe,' Bianchi type IX). As for light rays described by Doroshkevich and Novikov (DN), these sound rays can circumnavigate the universe near the singularity to remove particle horizons only for a small class of these models and in special directions. Although these results parallel those of DN, different Hamiltonian methods are used for treating the Einstein equations.
Chitre, D. M.↗
Collapse of a star with allowance for counterpressure <kollaps zvezdy s uchetom protivodavleniya<
Collapse of star - numerical integration of einstein equations for case of cold fermi gas
COLLAPSE↗
Observer-time as a coordinate in relativistic spherical hydrodynamics.
Relativistic supernova model, discussing Einstein equation solution with two part stress- energy tensor
Misner, C. W.↗
Gravitational radiation in the limit of high frequency. I - The linear approximation and geometrical optics.
WKB approximation HF gravitational wave solutions to general relativity vacuum Einstein equations with strong gravitational fields, discussing light waves analogy
Isaacson, R. A.↗
The isotropy of the universe.
Einstein equations with flat homogeneous hypersurfaces including effects of viscosity in radiation and anisotropic pressures
Misner, C. W.↗
Klein-Gordon geon.
Spherically symmetric eigenstates of Klein- Gordon Einstein equations, discussing gravitational collapse
Kaup, D. J.↗