Phase space is a mathematical concept that is used to describe the behavior of a physical system, particularly in classical mechanics and dynamical systems theory. In phase space, the state of a system is represented by a point in a multi-dimensional space,…
read moreThe 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 moreIf a is the scale factor – the current distance between any two points in space- then the rate of change of that scale factor in relation to the size of the universe is given as : Where is derived from a…
read moreIn our universe, a Constant is a value that remains constant throughout space and throughout time. The Gravitational Constant, G, for example – so far as we can tell – remains regardless of when or where the measurement takes place. So too…
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 moreAdiabatic means heat does not enter or leave the system concerned.
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….
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