Corpus ID: 236912663

Energy-momentum tensor and duality symmetry of linearized gravity in a Maxwellian formalism

@inproceedings{Tth2021EnergymomentumTA,
  title={Energy-momentum tensor and duality symmetry of linearized gravity in a Maxwellian formalism},
  author={G{\'a}bor T{\'o}th},
  year={2021}
}
A Maxwell-like formulation of linearized gravity in flat background, based on the Fierz tensor as the analogue of the electromagnetic field strength, is discussed in detail and used to study fundamental properties of the linearized gravitational field. In particular, the linearized Einstein equations are formulated as first order partial differential equations in terms of the Fierz tensor, in analogy with the first order Maxwell equations. An energy-momentum tensor (T ab lg ) is found for the… Expand

References

SHOWING 1-10 OF 86 REFERENCES
Maxwellian theory of gravitational waves and their mechanical properties
We present a theory in Maxwellian form for gravitational waves in a flat background. This requires us to identify the gravitational analogues of the electric and magnetic fields for light. AnExpand
Localized energetics of linear gravity: Theoretical development
We recently developed a local description of the energy, momentum and angular momentum carried by the linearized gravitational field, wherein the gravitational energy-momentum tensor displaysExpand
Spin-2 field theory in curved spacetime in the Fierz representation
We present a new formulation to deal with the consistency problem of both massive and massless spin-2 fields in a curved spacetime. Using Fierz variables to represent the spin-2 field, we show how toExpand
On relativistic wave equations for particles of arbitrary spin in an electromagnetic field
The investigations of Dirac (1936) on relativistic wave equations for particles with arbitrary spin have recently been followed up by one of us (Fierz, 1939, referred to as (A)) It was there foundExpand
Über die relativistische Theorie kräftefreier Teilchen mit beliebigem Spin
Nutzungsbedingungen Die ETH-Bibliothek ist Anbieterin der digitalisierten Zeitschriften. Sie besitzt keine Urheberrechte an den Inhalten der Zeitschriften. Die Rechte liegen in der Regel bei denExpand
Localizing energy in Fierz-Lanczos theory
We calculate energy carried by the massless spin-2 field using Fierz-Lanczos representation of the theory. For this purpose Hamiltonian formulation of the field dynamic is thoroughly analyzed. FinalExpand
Energy-momentum tensors in linearized Einstein's theory and massive gravity: The question of uniqueness
The question of the uniqueness of energy-momentum tensors in the linearized general relativity and in the linear massive gravity is analyzed without using variational techniques. We start from aExpand
Noether’s second theorem and Ward identities for gauge symmetries
A bstractRecently, a number of new Ward identities for large gauge transformations and large diffeomorphisms have been discovered. Some of the identities are reinterpretations of previously knownExpand
Localizing the energy and momentum of linear gravity
A framework is developed which quantifies the local exchange of energy and momentum between matter and the linearized gravitational field. We derive the unique gravitational energy-momentum tensorExpand
Canonical Noether and the energy–momentum non-uniqueness problem in linearized gravity
  • M. R. Baker
  • Physics, Mathematics
  • Classical and Quantum Gravity
  • 2021
Recent research has highlighted the non-uniqueness problem of energy–momentum tensors in linearized gravity; many different tensors are published in the literature, yet for particular calculations aExpand
...
1
2
3
4
5
...