Mass and Angular Momentum in General Relativity
@inproceedings{Jaramillo2010MassAA, title={Mass and Angular Momentum in General Relativity}, author={J L Jaramillo and E. Gourgoulhon}, year={2010} }
We present an introduction to mass and angular momentum in General Relativity. After briefly reviewing energy–momentum for matter fields, first in the flat Minkowski case (Special Relativity) and then in curved spacetimes with or without symmetries, we focus on the discussion of energy–momentum for the gravitational field. We illustrate the difficulties rooted in the Equivalence Principle for defining a local energy–momentum density for the gravitational field. This leads to the understanding…
55 Citations
Energy of cosmological spacetimes and perturbations: a quasilocal approach
- PhysicsClassical and Quantum Gravity
- 2020
Quasilocal definitions of stress–energy–momentum—that is, in the form of boundary densities (rather than local volume densities)—have proven generally very useful in formulating and applying…
Motion of localized sources in general relativity: Gravitational self-force from quasilocal conservation laws
- PhysicsPhysical Review D
- 2020
An idealized “test” object in general relativity moves along a geodesic. However, if the object has a finite mass, this will create additional curvature in the spacetime, causing it to deviate from…
Noether's Theorems and Energy in General Relativity
- Physics
- 2021
This paper has three main aims: first, to give a pedagogical introduction to Noether’s two theorems and their implications for energy conservation in general relativity, which was a central point of…
Study of the relativistic dynamics of extreme-mass-ratio inspirals
- Physics
- 2019
The principal subject of this thesis is the gravitational two-body problem in the extreme-mass-ratio regime - that is, where one mass is significantly smaller than the other - in the full context of…
Einstein and Beyond: A Critical Perspective on General Relativity
- Physics
- 2016
An alternative approach to Einstein’s theory of General Relativity (GR) is reviewed, which is motivated by a range of serious theoretical issues inflicting the theory, such as the cosmological…
Canonical Gravity and Relativistic Metrology: from Clock Synchronization to Dark Matter as a Relativistic Inertial Effect
- Physics
- 2011
Clock synchronization leads to the definition of instantaneous 3-spaces (to be used as Cauchy surfaces) in non-inertial frames, the only ones allowed by the equivalence principle. ADM canonical…
Dirac-Bergmann Constraints in Relativistic Physics: Non-Inertial Frames, Point Particles, Fields and Gravity
- Physics
- 2017
There is a review of the physical theories needing Dirac-Bergmann theory of constraints at the Hamiltonian level due to the existence of gauge symmetries. It contains:
i) the treatment of systems of…
Covariant Noether charges for type IIB and 11-dimensional supergravities
- PhysicsClassical and Quantum Gravity
- 2020
The covariant Noether charge formalism (also known as the covariant phase method) of Wald and collaborators, including its cohomological extension, is a manifestly covariant Hamiltonian formalism…
Energy and entropy in the Geometrical Trinity of gravity
- Physics
- 2022
All energy is gravitational energy. That is the consequence of the equivalence principle, according to which gravity is the universal interaction. The physical charges of this interaction have…
The Physics of Eccentric Binary Black Hole Mergers. A Numerical Relativity Perspective
- PhysicsPhysical Review D
- 2019
This work presents a catalog of 89 numerical relativity waveforms that describe binary systems of non-spinning black holes with mass-ratios, and quantifies the loss of energy and angular momentum through gravitational radiation, and the astrophysical properties of the black hole remnant, including its final mass and spin, and recoil velocity.
References
SHOWING 1-10 OF 106 REFERENCES
On conserved quantities in general relativity
- Physics
- 1979
Recently, definitions of total 4‐momentum and angular momentum of isolated gravitating systems have been introduced in terms of the asymptotic behavior of the Weyl curvature (of the underlying…
Angular momentum conservation for dynamical black holes
- Physics
- 2006
Angular momentum can be defined by rearranging the Komar surface integral in terms of a twist form, encoding the twisting around of space-time due to a rotating mass, and an axial vector. If the…
Angular momentum and an invariant quasilocal energy in general relativity
- Physics
- 2000
A key feature of the Brown and York definition of quasilocal energy is that under local boosts of the fleet of observers measuring the energy, the quasilocal energy surface density transforms as one…
Binary black holes in circular orbits. I. A global spacetime approach
- Physics
- 2002
We present a new approach to the problem of binary black holes in the pre-coalescence stage, i.e. when the notion of orbit has still some meaning. Contrary to previous numerical treatments which are…
A Relativist's Toolkit
- Physics
- 2007
This textbook fills a gap in the existing literature on general relativity by providing the advanced student with practical tools for the computation of many physically interesting quantities. The…
Thermodynamics of binary black holes and neutron stars
- Physics
- 2002
We consider compact binary systems, modeled in general relativity as vacuum or perfect-fluid spacetimes with a helical Killing vector k^\alpha, heuristically, the generator of time-translations in a…
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…
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…
The Large Scale Structure of Space-Time
- Physics
- 1973
The theory of the causal structure of a general space-time is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions.
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…