The Hubble Flow is the motion of astronomical objects due solely to the expansion of the universe. Right now the expansion is increasing space in the universe. In the future, it will either collapse back in on itself, expand forever, or stop…
read moreRicci calculus describes the rules of index notation and manipulation for tensors and tensor fields on a differentiable manifold. It is another name for absolute differential calculus, which is the foundation of tensor calculus. The Ricci Curvature Tensor is a fundamental component…
read moreEinstein Summation Notation is a notational convention that implies summation over a set of indexed terms in a formula. It is simply meant as a shortcut in the writing of formulas. It is primarily used in the application of linear algebra to…
read moreThe Metric Tensor in General Relativity is a Set of 10 parameters ascribed to each point in space, the values of which describe the geometry of spacetime. Metric means “measure,” and a tensor is simply the higher dimensional analogue of vector, i.e….
read moreIt is notable that time dilation is not limited to kinetic or gravitational time dilation, but by virtue of the unification of gravitation and acceleration by the Equivalence Principle of General Relativity, by acceleration as well. In all cases, Time Dilation is…
read moreOn the surface, the concept of Time Dilation seems so strange to us that we imagine its formula must be one of incredible complexity. In reality, its incredible simplicity almost belies the genius required to conceive of it (Minkowski, Lorentz, Einstein). It…
read moreA gravitational field is a model used to explain the influences that a massive body extends into the space around itself, producing a gravitational force on another massive body. Thus, a gravitational field is used to explain gravitational phenomena, and is measured…
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