Graviton-graviton scattering, Bel-Robinson and energy (pseudo)-tensors

@article{Deser1999GravitongravitonSB,
  title={Graviton-graviton scattering, Bel-Robinson and energy (pseudo)-tensors},
  author={Stanley Deser and J. S. Franklin and Domenico Seminara},
  journal={Classical and Quantum Gravity},
  year={1999},
  volume={16},
  pages={2815-2821}
}
Motivated by recent work involving the graviton-graviton tree scattering amplitude, and its twin descriptions as the square of the Bel-Robinson tensor, Bµ, and as the `current-current interaction' square of gravitational energy pseudo-tensors t, we find an exact tensor-square root equality , for a combination of Einstein and Landau-Lifschitz t, in Riemann normal coordinates. In the process, we relate, on-shell, the usual superpotential basis for classifying pseudo-tensors with one spanned by… 

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References

SHOWING 1-10 OF 10 REFERENCES

Inconsistency of spin 4-spin 2 gauge field couplings

The authors invert the usual problem of coupling higher spin gauge fields to gravity by treating (linearised) gravity as the 'matter field' source of spin 4 gauge theory. This is motivated by the

COUNTERTERMS AND M-THEORY CORRECTIONS TO D = 11 SUPERGRAVITY

We construct a local on-shell invariant in D = 11 supergravity from the nonlocal four-point tree scattering amplitude. Its existence, together with earlier arguments, implies nonrenormalizability of

Normal forms for tensor polynomials. I. The Riemann tensor

Abstrael. Renormalization theoly in quantum gravity, among other applications, mntinues to stimulate many attempts 10 calculate asymptotic expansions of heat kernels and other Green functions of

Propagation laws for null and type III gravitational waves

Several algebraic characterizations of vacuum type III metric fields are discussed. A covariant integral conservation law is obtained by introducing a divergence free vector density that is uniquely

On the Bel - Robinson tensor

A completely symmetrical form of the Bel - Robinson (BR) tensor is shown to give rise, in n-dimensional Lorentzian space, to a gravitational density. For n = 4, a physical identification is proposed.

LETTER TO THE EDITOR: Gauge invariance of Poincare generators in free higher spin gauge theories

The authors show that for any free symmetric tensor field model derived from a geometrical action by expansion about flat space, the unavoidable gauge dependence of its stress tensor is confined to a

Class

  • Quant. Grav. 7, L119
  • 1990

hep-th/9812136

  • Phys. Rev. Lett. 82 (1999) 2435; S. Deser and D. Seminara, “Constructing Invariants in and Nonrenormalizability of D=11 Supergravity,” BRX TH-456, to be submitted to Phys. Rev. D; S. Deser, gr-qc/9901007, to appear in Gravitation and Relativity in General,” World Publishing
  • 1999

Class

  • Quant. Grav. 9
  • 1992