INTERACTION ENERGY IN GEOMETROSTATICS
Interaction energy in geometrostatics - geometrodynamic description of particles by topological features of empty space-time
GEOMETRODYNAMICS↗
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INTERACTION ENERGY IN GEOMETROSTATICS
Geometrodynamical description of particles satisfying time-symmetric initial value equations of gravitation and electromagnetism
RELATIVITY THEORY↗
General relativity - selected topics of current interest.
General relativity lectures concerning geometrodynamics and gravitational radiation, emphasizing geometrization and axisymmetric waves
COSMOLOGY↗
Gravitation
This textbook on gravitation physics (Einstein's general relativity or geometrodynamics) is designed for a rigorous full-year course at the graduate level. The material is presented in two parallel tracks in an attempt to divide key physical ideas from more complex enrichment material to be selected at the discretion of the reader or teacher. The full book is intended to provide competence relative to the laws of physics in flat space-time, Einstein's geometric framework for physics, applications with pulsars and neutron stars, cosmology, the Schwarzschild geometry and gravitational collapse, gravitational waves, experimental tests of Einstein's theory, and mathematical concepts of differential geometry.
Misner, C. W.↗
A Space-Time Fluid (Unabridged)
Purpose: This essay is a retelling of general relativity in a language in which space-time geometry is expressed as a fluid. This trivial and useful reformulation gives 1) a non-perturbative covariant description of cosmological inhomogeneities and 2) a simple formula describing how cosmic inhomogeneities are generated on super-horizon scales. Methods: Equating the Ricci curvature with the associated matter stress-energy gives a description of space-time geometry in terms of fluid properties. These locally measurable (covariant) non-perturbative quantities are in some ways superior to commonly used "gauge invariant" quantities. The dynamics of a quantity (kurvature) which describes cosmological inhomogeneities is described in detail. A detailed comparison is made of space-time fluid dynamics with that of a classical (Newtonian physics) fluid. Results: The fluid lexicon permits an unambiguous definition of the velocity of space-time. The evolution of the space-time fluid is in many ways identical with that of the classical fluid when expressed in Lagrangian coordinates. Kurvature is a measure of the specific binding energy of the fluid and is a most useful covariant measure of cosmological inhomogeneities. For plausible matter models kurvature will increase, even on super-horizon scales, due to non-linear hydrodynamic effects rather than gravity. This phenomena is also exhibited by classical fluids. Conclusion: The space-time fluid representation of geometrodynamics gives a simple and useful description of the evolution of cosmological inhomogeneities.
Stebbins, Albert [Fermilab] (ORCID:000000023807725↗
Rudimentary geometric particle theory.
Particle theory in which additive particle labels are defined in geometric terms of classical gauge theories of Yang-Mills type
CONSERVATION LAW↗
Rotating masses and their effect on inertial frames.
Rotating masses effect on inertial frames, analyzing stress energy tensor and Schwarzschild geometry
INERTIAL FORCE↗
Relativistic collapse to a Schwarzschild sphere.
Models of spherically symmetric nonstatic processes, including relativistic collapse to Schwarzschild sphere, constructed by space-time metrics
RELATIVITY THEORY↗