Group Theory and General Relativity: Representations of the Lorentz Group and Their Applications to the Gravitational Field |
Contents
The Rotation Group | 1 |
Spinor representation of the group SU Matrix elements of | 13 |
1 | 34 |
Copyright | |
17 other sections not shown
Other editions - View all
Common terms and phrases
ABCD arbitrary asymptotically B₁ BMS group Chapter commutator complementary series components condition conjugate constant coordinate system coordinate transformation corresponding covariant defined denoted differential Einstein electromagnetic equivalent finite-dimensional gauge given by Eq gravitational field equations gravitational radiation group SL(2 group SU₂ Hence Hermitian Hilbert space I. M. Gelfand infinitesimal infinitesimal operators integral invariant irreducible representation Lemma linear Lorentz group Lorentz transformation Math matrix matrix elements matrix g metric tensor n₁ n₂ null Nuovo Cim obtains operator D(g orthochronous orthogonal parameter Phys polynomial principal series Problem Prove Eqs relativity Riemann tensor rotation satisfy scalar product Schwarzschild Schwarzschild metric Show sin² solution space D(x space-time spherical spin coefficients spinor representation subgroup subspace symmetric tetrad theory tion unitary representations V₁ vanish variables vector Weyl spinor Weyl tensor x₁ Yang-Mills μν πο