the Raychaudhuri equation, or Landau–Raychaudhuri equation, is a fundamental result describing the motion of nearby bits of matter. The equation is important...

and cosmology. His most significant contribution is the eponymous Raychaudhuri equation, which demonstrates that singularities arise inevitably in general...

field equations (EFE; also known as Einstein's equations) relate the geometry of spacetime to the distribution of matter within it. The equations were...

Maxwell's equations, or Maxwell–Heaviside equations, are a set of coupled partial differential equations that, together with the Lorentz force law, form...

The Friedmann equations, also known as the Friedmann–Lemaître (FL) equations, are a set of equations in physical cosmology that govern cosmic expansion...

in the formulation and proof of the singularity theorems is the Raychaudhuri equation, which describes the divergence θ {\displaystyle \theta } of a congruence...

In astrophysics, the Tolman–Oppenheimer–Volkoff (TOV) equation constrains the structure of a spherically symmetric body of isotropic material which is...

Nagasaki in 1945, the equation E = mc2 became directly linked in the public eye with the power and peril of nuclear weapons. The equation was featured on page...

→ ∞ of Poincaré transformations yields Galilean transformations. The equations below are only physically valid in a Newtonian framework, and not applicable...

defining feature is its use of the Einstein field equations. The solutions of the field equations are metric tensors which define the topology of the...

The equation t′ = constant defines a "line of simultaneity" in the (x′, t′) coordinate system for the second (moving) observer, just as the equation t =...

presence of the Ricci tensor in the Raychaudhuri equation. Partly for this reason, the Einstein field equations propose that spacetime can be described...

differential equation Hypercone Light-cone coordinates Lorentz transformation Method of characteristics Minkowski diagram Monge cone Wave equation Cox, Brian;...

the universe is expanding, governed by a set of equations he developed known as the Friedmann equations. Alexander Friedmann was born to the composer and...

of solutions) to Einstein's equations. Rather, relations that hold true for all geodesics, such as the Raychaudhuri equation, and additional non-specific...

In physics, the principle of relativity is the requirement that the equations describing the laws of physics have the same form in all admissible frames...

aeroacoustic equation Landau–Raychaudhuri equation Landau–Zener formula Landau–Lifshitz model Landau–Lifshitz pseudotensor Landau–Lifshitz–Gilbert equation...

around the star onto three-dimensional (3-D) space. The full geodesic equation is d 2 x μ d s 2 + Γ μ α β d x α d s d x β d s = 0   {\displaystyle {d^{2}x^{\mu...

solutions. In particular, exact vacuum solutions to the Einstein field equation of general relativity, augmented by the trivial scalar field ϕ = 1 {\displaystyle...

to one another by such a transformation are inertial (meaning, Newton's equation of motion is valid in these frames). In this context it is sometimes called...

ləˈmɛtrə ... /) is a metric based on an exact solution of the Einstein field equations of general relativity. The metric describes a homogeneous, isotropic,...

Hamiltonian, and thereby write the equations of motion for general relativity in the form of Hamilton's equations. In addition to the twelve variables...

which are false. The Gödel rotating universe is a solution of the field equations that is designed to disobey Mach's principle in the worst possible way...

theories in physics have mathematical singularities of one kind or another. Equations for these physical theories predict that the ball of mass of some quantity...

months later, Karl Schwarzschild found a solution to the Einstein field equations that describes the gravitational field of a point mass and a spherical...

general relativity, an exact solution is a solution of the Einstein field equations whose derivation does not invoke simplifying assumptions, though the starting...

Reissner–Nordström metric is a static solution to the Einstein–Maxwell field equations, which corresponds to the gravitational field of a charged, non-rotating...

mass, or the invariant mass for systems, and E is the total energy. The equation is also valid for photons, which have m = 0: E 2 − ( p c ) 2 = 0 {\displaystyle...

 1–34: :Introduced the special theory of relativity. Reconciled Maxwell's equations for electricity and magnetism with the laws of mechanics by introducing...

Einstein field equations Linearized gravity Post-Newtonian formalism Raychaudhuri equation Hamilton–Jacobi–Einstein equation Ernst equation Phenomena Black...