• Corpus ID: 119629982

Radiation and Boundary Conditions in the Theory of Gravitation

  title={Radiation and Boundary Conditions in the Theory of Gravitation},
  author={Andrzej Trautman},
  journal={arXiv: General Relativity and Quantum Cosmology},
  • A. Trautman
  • Published 11 April 2016
  • Physics
  • arXiv: General Relativity and Quantum Cosmology
The Sommerfeld boundary conditions, applied to an asymptotically weak gravitational field, are shown to imply that the 1/r part of the curvature tensor of a space-time, satisfying the Einstein equations, is of type null in the Petrov classification and that there is then a flux of energy carried away by the outgoing gravitational wave. 

Conformal anomalies and the Einstein field equations

A bstractWe compute corrections to the Einstein field equations which are induced by the anomalous effective actions associated to the type A conformal anomaly, both for the (non-local) Riegert

Energy of weak gravitational waves in spacetimes with a positive cosmological constant

We derive a formula for the total canonical energy, and its flux, of weak gravitational waves on a de Sitter background.

Gravitational radiation and the evolution of gravitational collapse in cylindrical symmetry

Novel characterization of gravitational radiation in asymptotically flat spacetimes

A novel criterion to determine the presence of gravitational radiation arriving to, or departing from, null infinity of any weakly asymptotically-simple space-time with vanishing cosmological

On the canonical energy of weak gravitational fields with a cosmological constant Λ ∈ R.

The renormalised energy in the asymptotically off-diagonal gauge coincides with the quadratisation of the generalisation ofThe Trautman-Bondi mass proposed in Chruściel and Ifsits (Phys Rev D 93:124075, arXiv:1603.07018 [gr-qc], 2016).

Hamiltonian charges in the asymptotically de Sitter spacetimes

We generalize a notion of ’conserved’ charges given by Wald and Zoupas to the asymptotically de Sitter spacetimes. Surprisingly, our construction is less ambiguous than the one encountered in the

Quasi-local mass at axially symmetric null infinity

We give a brief review of the definition of the Wang–Yau quasi-local mass and discuss the evaluation of this quantity on surfaces of unit size at null infinity of an axisymmetric spacetime in

Gravitational Waves and Their Mathematics

This is an overview article of the mathematics of gravitational waves. We explain the mathematics and physics of these waves in general relativity theory, discuss the gravitational wave experiment

Gravitational radiation condition at infinity with a positive cosmological constant

Gravitational waves have been directly detected and astronomical observations indicate that our Universe has a positive cosmological constant $\mathrm{\ensuremath{\Lambda}}$. Nevertheless, a

Lee-Wald charge and asymptotic behaviors of the Weyl-invariant topologically massive gravity

We apply the Lee–Wald covariant phase space method to the Weyl-invariant topologically massive gravity and compute the corresponding on-shell conserved charges. By using appropriate decay conditions



Theory of Space

That space is not a void, that it is a separate entity, with defined structure, which has its own physical properties associated with it. While the search for the Graviton may continue, a much

The Theory of Space, Time and Gravitation

In a key input circuit, the key input signal is serialized and applied directly and through a circulating register working with a certain delay time to one gate for transmitting the direct key input



  • Ges. Göttingen
  • 1918

Discontinuities of field derivatives and radiation in covariant theories

  • Bull. Acad. Polon. Sci. Cl. III, 5
  • 1957


  • Ber.,
  • 1918