3
On the Energy-Momentum and Angular Momentum of Gravitating Systems
3.1
On the gravitational energy-momentum and angular momentum density: The difficulties
3.1.1
The root of the difficulties: Gravitational energy in Newton’s theory
3.1.2
The root of the difficulties: Gravitational energy-momentum in Einstein’s theory
3.1.3
Pseudotensors
3.1.4
Strategies to avoid pseudotensors I: Background metrics/connections
3.1.5
Strategies to avoid pseudotensors II: The tetrad formalism
3.1.6
Strategies to avoid pseudotensors III: Higher derivative currents
3.2
On the global energy-momentum and angular momentum of gravitating systems: The successes
3.2.1
Spatial infinity: Energy-momentum
3.2.2
Spatial infinity: Angular momentum
3.2.3
Null infinity: Energy-momentum
3.2.4
Null infinity: Angular momentum
3.3
The necessity of quasi-locality for observables in general relativity
3.3.1
Nonlocality of the gravitational energy-momentum and angular momentum
3.3.2
Domains for quasi-local quantities
3.3.3
Strategies to construct quasi-local quantities
Living Rev. Relativity
12, (2009), 4
http://www.livingreviews.org/lrr-2009-4
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