How Were the Hilbert–einstein Equations Discovered?
نویسندگان
چکیده
The pathways along which A. Einstein and D. Hilbert independently came to the gravitational field equations are traced. Some of the papers that assert a point of view on the history of the derivation of the gravitational field equations “that radically differs from the standard point of view” are critically analyzed. It is shown that the conclusions drawn in these papers are completely groundless.
منابع مشابه
Global Results for the Rarita - Schwinger Equations and Einstein Vacuum Equations
We use a gauge fixing for the Rarita-Schwinger equations for helicity 3/2 fields in curved space that leads to a straightforward Hilbert space framework for their study and prove global existence and uniqueness of solutions to the Rarita-Schwinger evolution equations compatible with the constraints inthis framework. We discuss how these results might be applied to the global analysis of the ful...
متن کامل2 00 5 Einstein , Hilbert and Equations of Gravitation
• The history of the equations of gravitational field is of particular interest because they are related to two famous names: Albert Einstein and David Hilbert, and because the circumstances of their invention bear sometimes almost detective character. One of the early references is the book " Einstein, Hilbert and the Theory of Gravitation " by a renowned historian of science J. Mehra [1], whe...
متن کاملOn Hamiltonian formulation of the Einstein-Hilbert action in two dimensions
Abstract It is shown that the well-known triviality of the Einstein field equations in two dimensions is not a sufficient condition for the Einstein-Hilbert action to be a total divergence, if the general covariance is to be preserved, that is, a coordinate system is not fixed. Consequently, a Hamiltonian formulation is possible without any modification of the two dimensional Einstein-Hilbert a...
متن کاملPhase Space for the Einstein Equations
A Hilbert manifold structure is described for the phase space F of asymptotically flat initial data for the Einstein equations. The space of solutions of the constraint equations forms a Hilbert submanifold C ⊂ F . The ADM energy-momentum defines a function which is smooth on this submanifold, but which is not defined in general on all of F . The ADM Hamiltonian defines a smooth function on F w...
متن کاملRenormalization Group Flow of Quantum Gravity in the Einstein-Hilbert Truncation
The exact renormalization group equation for pure quantum gravity is used to derive the non-perturbative β-functions for the dimensionless Newton constant and cosmological constant on the theory space spanned by the Einstein-Hilbert truncation. The resulting coupled differential equations are evaluated for a sharp cutoff function. The features of these flow equations are compared to those found...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004