# Intrinsic angular momentum and centre of mass in general relativity

@article{Moreschi2002IntrinsicAM, title={Intrinsic angular momentum and centre of mass in general relativity}, author={Osvaldo M. Moreschi}, journal={Classical and Quantum Gravity}, year={2002}, volume={21}, pages={5409-5425} }

There are several definitions in the literature of the notion of total angular momentum in general relativity. However, none of them can be said to capture the physical notion of intrinsic angular momentum of the sources in the presence of gravitational radiation. We present a definition of angular momentum for radiative spacetimes which does not suffer from any ambiguity of supertranslations. We have succeeded in providing an appropriate notion of intrinsic angular momentum and, at the same…

## 30 Citations

Spin and Center of Mass in Asymptotically Flat Spacetimes

- Physics
- 2013

We define the center of mass and spin of an isolated system in General Relativity. The resulting relationships between these variables and the total linear and angular momentum of the gravitational…

Center of Mass and spin for isolated sources of gravitational radiation

- Physics
- 2013

We define the center of mass and spin of an isolated system in General Relativity. The resulting relationships between these variables and the total linear and angular momentum of the gravitational…

Spin and center of mass in axially symmetric Einstein–Maxwell spacetimes

- Physics
- 2012

We give a definition and derive the equations of motion for the center of mass and angular momentum of an axially symmetric, isolated system that emits gravitational and electromagnetic radiation. A…

Quasi-Local Energy-Momentum and Angular Momentum in General Relativity

- PhysicsLiving reviews in relativity
- 2009

The present status of the quasi-local mass, energy-momentum and angular-momentum constructions in general relativity is reviewed. First, the general ideas, concepts, and strategies, as well as the…

Peculiar anisotropic stationary spherically symmetric solution of Einstein equations

- Physics
- 2011

Motivated by studies on gravitational lenses, we present an exact solution of the field equations of general relativity, which is static and spherically symmetric, has no mass but has a non-vanishing…

Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article

- PhysicsLiving reviews in relativity
- 2004

The present status of the quasi-local mass-energy-momentum and angular momentum constructions in general relativity is reviewed. First the general ideas, concepts, and strategies, as well as the…

Constructing balanced equations of motion for particles in general relativistic theories: the general case

- Physics
- 2016

We present a general approach for the formulation of equations of motion for compact objects in general relativistic theories. The particle is assumed to be moving in a geometric background which in…

Total angular momentum from Dirac eigenspinors

- Physics
- 2008

The eigenvalue problem for Dirac operators, constructed from two connections on the spinor bundle over closed spacelike 2-surfaces, is investigated. A class of divergence-free vector fields, built…

Numerical evolution of the center of mass and angular momentum for binary black holes

- PhysicsPhysical Review D
- 2021

The asymptotic approach derived by Kozameh-Quiroga (K-Q) provides a modern framework to obtain the evolution of global variables of isolated sources of gravitational radiation. We test the K-Q…

A note on computations of angular momentum and its flux in numerical relativity

- Physics
- 2009

The purpose of this note is to point out ambiguities that appear in the calculation of angular momentum and its radiated counterpart when some simple formulae are used to compute them. We illustrate,…

## References

SHOWING 1-10 OF 29 REFERENCES

Quasi-local mass and angular momentum in general relativity

- PhysicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1982

A new approach to defining energy-momentum and angular momentum in general relativity is presented which avoids some of the difficulties of previous definitions and which can be applied…

Angular momentum in general relativity I. Definition and asymptotic behaviour

- PhysicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1977

Angular momentum in axisymmetric space-times is investigated. The conclusions lead to a general definition suitable for all asymptoticallyflat spaces which is valid both at infinity and on the event…

Unambiguous angular momentum of radiative spacetimes and asymptotic structure in terms of the center of mass system

- Physics
- 2003

We present a definition of angular momentum for radiative spacetimes which does not suffer from any ambiguity of supertranslations. We succeed in providing an appropriate notion of {\it intrinsic}…

Linkages in general relativity

- Mathematics
- 1981

For an asymptotically flat space–time in general relativity there exist certain integrals, called linkages, over cross sections of null infinity, which represent the energy, momentum, or angular…

Angular momentum at null infinity

- Physics
- 1984

The definition of angular momentum recently given by Penrose (1982) is analysed on I. It is shown that this definition is essentially a supertranslation of previous definitions. The origin dependence…

Symplectic geometry of radiative modes and conserved quantities at null infinity

- PhysicsProceedings of the Royal Society of London. A. Mathematical and Physical Sciences
- 1981

The Hamiltonian description of massless spin zero- and one-fields in Minkowski space is first recast in a way that refers only to null infinity and fields thereon representing radiative modes. With…

On global conservation laws at null infinity

- Physics
- 1997

In this paper the standard values for total energy, linear momentum and also angular momentum of asymptotically flat Bondi metrics at null infinity are obtained from differential conservation laws on…

Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article

- PhysicsLiving reviews in relativity
- 2004

The present status of the quasi-local mass-energy-momentum and angular momentum constructions in general relativity is reviewed. First the general ideas, concepts, and strategies, as well as the…

SOME TOTAL INVARIANTS OF ASYMPTOTICALLY FLAT SPACE-TIMES,

- Mathematics, Physics
- 1968

The total energy, momentum, supermomentum, and angular momentum of asymptotically flat space‐times are calculated in terms of coordinate and conformally invariant expressions by taking the limit in…

General definition of “conserved quantities” in general relativity and other theories of gravity

- Mathematics
- 2000

In general relativity, the notion of mass and other conserved quantities at spatial infinity can be defined in a natural way via the Hamiltonian framework: Each conserved quantity is associated with…