Fermi · Concept Library · Courses · Books · Problems · Simulations · Math Wiki · High School Fermi › Problems General Relativity: An Introduction for Physicists · Problem 17.2
Linearised general relativity — Hobson, Efstathiou & Lasenby
Physics · infinitesimal-coordinate-transformation-inverse
Problem For an infinitesimal general coordinate transformation x ′ μ = x μ + ξ ν ( x ) x'^{\mu} = x^{\mu} + \xi^{\nu}(x) x ′ μ = x μ + ξ ν ( x ) ξ ν \xi^{\nu} ξ ν ∂ x μ ∂ x ′ ν = δ ν μ − ∂ ν ξ μ . \frac{\partial x^{\mu}}{\partial x'^{\nu}} = \delta^{\mu}_{\nu} - \partial_{\nu}\xi^{\mu}. ∂ x ′ ν ∂ x μ = δ ν μ − ∂ ν ξ μ . Browse the problem library