23 relations: Anti-de Sitter space, Casimir effect, Characteristic polynomial, Cosmological constant, De Sitter space, De Sitter–Schwarzschild metric, Einstein field equations, Einstein manifold, Exact solutions in general relativity, Frame fields in general relativity, General relativity, Group action, Lorentz group, Metric signature, Metric tensor, Newton's identities, Ricci curvature, Riemannian manifold, Spacetime, Stress–energy tensor, Trace (linear algebra), Vacuum energy, Wikipedia.
Anti-de Sitter space
In mathematics and physics, n-dimensional anti-de Sitter space (AdSn) is a maximally symmetric Lorentzian manifold with constant negative scalar curvature.
New!!: Lambdavacuum solution and Anti-de Sitter space · See more »
Casimir effect
In quantum field theory, the Casimir effect and the Casimir–Polder force are physical forces arising from a quantized field.
New!!: Lambdavacuum solution and Casimir effect · See more »
Characteristic polynomial
In linear algebra, the characteristic polynomial of a square matrix is a polynomial which is invariant under matrix similarity and has the eigenvalues as roots.
New!!: Lambdavacuum solution and Characteristic polynomial · See more »
Cosmological constant
In cosmology, the cosmological constant (usually denoted by the Greek capital letter lambda: Λ) is the value of the energy density of the vacuum of space.
New!!: Lambdavacuum solution and Cosmological constant · See more »
De Sitter space
In mathematics and physics, a de Sitter space is the analog in Minkowski space, or spacetime, of a sphere in ordinary Euclidean space.
New!!: Lambdavacuum solution and De Sitter space · See more »
De Sitter–Schwarzschild metric
In general relativity, the de Sitter–Schwarzschild solution describes a black hole in a causal patch of de Sitter space.
New!!: Lambdavacuum solution and De Sitter–Schwarzschild metric · See more »
Einstein field equations
The Einstein field equations (EFE; also known as Einstein's equations) comprise the set of 10 equations in Albert Einstein's general theory of relativity that describe the fundamental interaction of gravitation as a result of spacetime being curved by mass and energy.
New!!: Lambdavacuum solution and Einstein field equations · See more »
Einstein manifold
In differential geometry and mathematical physics, an Einstein manifold is a Riemannian or pseudo-Riemannian differentiable manifold whose Ricci tensor is proportional to the metric.
New!!: Lambdavacuum solution and Einstein manifold · See more »
Exact solutions in general relativity
In general relativity, an exact solution is a Lorentzian manifold equipped with tensor fields modeling states of ordinary matter, such as a fluid, or classical nongravitational fields such as the electromagnetic field.
New!!: Lambdavacuum solution and Exact solutions in general relativity · See more »
Frame fields in general relativity
In general relativity, a frame field (also called a tetrad or vierbein) is a set of four orthonormal vector fields, one timelike and three spacelike, defined on a Lorentzian manifold that is physically interpreted as a model of spacetime.
New!!: Lambdavacuum solution and Frame fields in general relativity · See more »
General relativity
General relativity (GR, also known as the general theory of relativity or GTR) is the geometric theory of gravitation published by Albert Einstein in 1915 and the current description of gravitation in modern physics.
New!!: Lambdavacuum solution and General relativity · See more »
Group action
In mathematics, an action of a group is a formal way of interpreting the manner in which the elements of the group correspond to transformations of some space in a way that preserves the structure of that space.
New!!: Lambdavacuum solution and Group action · See more »
Lorentz group
In physics and mathematics, the Lorentz group is the group of all Lorentz transformations of Minkowski spacetime, the classical and quantum setting for all (nongravitational) physical phenomena.
New!!: Lambdavacuum solution and Lorentz group · See more »
Metric signature
The signature of a metric tensor g (or equivalently, a real quadratic form thought of as a real symmetric bilinear form on a finite-dimensional vector space) is the number (counted with multiplicity) of positive and zero eigenvalues of the real symmetric matrix of the metric tensor with respect to a basis.
New!!: Lambdavacuum solution and Metric signature · See more »
Metric tensor
In the mathematical field of differential geometry, a metric tensor is a type of function which takes as input a pair of tangent vectors and at a point of a surface (or higher dimensional differentiable manifold) and produces a real number scalar in a way that generalizes many of the familiar properties of the dot product of vectors in Euclidean space.
New!!: Lambdavacuum solution and Metric tensor · See more »
Newton's identities
In mathematics, Newton's identities, also known as the Newton–Girard formulae, give relations between two types of symmetric polynomials, namely between power sums and elementary symmetric polynomials.
New!!: Lambdavacuum solution and Newton's identities · See more »
Ricci curvature
In differential geometry, the Ricci curvature tensor, named after Gregorio Ricci-Curbastro, represents the amount by which the volume of a small wedge of a geodesic ball in a curved Riemannian manifold deviates from that of the standard ball in Euclidean space.
New!!: Lambdavacuum solution and Ricci curvature · See more »
Riemannian manifold
In differential geometry, a (smooth) Riemannian manifold or (smooth) Riemannian space (M,g) is a real, smooth manifold M equipped with an inner product g_p on the tangent space T_pM at each point p that varies smoothly from point to point in the sense that if X and Y are differentiable vector fields on M, then p \mapsto g_p(X(p),Y(p)) is a smooth function.
New!!: Lambdavacuum solution and Riemannian manifold · See more »
Spacetime
In physics, spacetime is any mathematical model that fuses the three dimensions of space and the one dimension of time into a single four-dimensional continuum.
New!!: Lambdavacuum solution and Spacetime · See more »
Stress–energy tensor
The stress–energy tensor (sometimes stress–energy–momentum tensor or energy–momentum tensor) is a tensor quantity in physics that describes the density and flux of energy and momentum in spacetime, generalizing the stress tensor of Newtonian physics.
New!!: Lambdavacuum solution and Stress–energy tensor · See more »
Trace (linear algebra)
In linear algebra, the trace of an n-by-n square matrix A is defined to be the sum of the elements on the main diagonal (the diagonal from the upper left to the lower right) of A, i.e., where aii denotes the entry on the ith row and ith column of A. The trace of a matrix is the sum of the (complex) eigenvalues, and it is invariant with respect to a change of basis.
New!!: Lambdavacuum solution and Trace (linear algebra) · See more »
Vacuum energy
Vacuum energy is an underlying background energy that exists in space throughout the entire Universe.
New!!: Lambdavacuum solution and Vacuum energy · See more »
Wikipedia
Wikipedia is a multilingual, web-based, free encyclopedia that is based on a model of openly editable content.
New!!: Lambdavacuum solution and Wikipedia · See more »
Redirects here:
References
[1] https://en.wikipedia.org/wiki/Lambdavacuum_solution