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  • Derivation of the spin connection in curved spacetime
    I am trying to understand the derivation of spin connection from the book "Quantum Field theory in Curved spacetime" by L Parker and D Toms In chapter 5, page 223, they have written (which I am reproducing)
  • exterior algebra - PlanetMath. org
    So, the direct sum ⊕ k Λ k ⁢ (V) forms an associative algebra, which is closed with respect to the wedge product This algebra, commonly denoted by Λ ⁢ (V), is called the exterior algebra of V
  • 4 Exterior algebra - University of Oxford
    The time has come now to develop some new linear algebra in order to handle the space of lines in a projective space P (V ) In the projective plane we have seen that duality can deal with this but lines in higher dimensional spaces behave differently
  • Exterior algebra - Wikipedia
    The exterior algebra (as well as the symmetric algebra) inherits a bialgebra structure, and, indeed, a Hopf algebra structure, from the tensor algebra See the article on tensor algebras for a detailed treatment of the topic
  • General Relativity Einsteins equation - Wikibooks
    The EFE can then be interpreted as a set of equations dictating how the curvature of spacetime is related to the matter energy content of the universe These equations, together with the geodesic equation, form the core of the mathematical formulation of General Relativity
  • The very, very basics of gravitational wave – Mingyu Jeon
    Here, A μ Aμ is the four-potential and J μ J μ is the four-current As you can see, the form of the linearized EFE is very similar to that of the Maxwell equation which predicts electromagnetic waves Therefore, we can expect the existence of gravitational waves
  • Special General Relativity Questions and Answers
    The force of gravity defined as changes in the gravitational field from place to place in Newtonian mechanics, was replaced by changes in the geometry of space from place to place in spacetime measured by the degree of curvature symbolized by "C-mu-nu" at each point
  • Equations of General Relativity - Universe in Problems
    Show that for any given point of spacetime there is a coordinate frame, in which $ {\Gamma^ {\lambda}}_ {\mu\nu}$ are equal to zero in this point It is called a locally inertial, or locally geodesic frame
  • Einstein Field Equations Fully Written Out: What Do They Look Like . . .
    In this notation, the Einstein field equations are as follows: For more information on what this equation means physically, you can read my introduction to general relativity
  • [Special Relativity] Why are things labeled with indices mu and nu in . . .
    It's the einstein notation, where loosely speaking, the x μ represents all the coordinates of a column vector and the subscript x_μ represents the coordinates of a row vector (or more precisely, the coordinates of a covector, which is related to the vector via the metric of spacetime)





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