A connection between linearized Gauss–Bonnet gravity and classical electrodynamics II: Complete dual formulation

@inproceedings{Baker2021ACB,
  title={A connection between linearized Gauss–Bonnet gravity and classical electrodynamics II: Complete dual formulation},
  author={Mark Robert Baker},
  year={2021}
}
In a recent publication a procedure was developed which can be used to derive completely gauge invariant models from general Lagrangian densities with N order of derivatives and M rank of tensor potential. This procedure was then used to show that unique models follow for each order, namely classical electrodynamics for N = M = 1 and linearized Gauss-Bonnet gravity for N = M = 2. In this article, the nature of the connection between these two well explored physical models is further… 
2 Citations

Canonical Noether and the energy–momentum non-uniqueness problem in linearized gravity

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 a

Noether's first theorem and the energy-momentum tensor ambiguity problem

Noether’s theorems are widely praised as some of the most beautiful and useful results in physics. However, if one reads the majority of standard texts and literature on the application of Noether’s

References

SHOWING 1-10 OF 49 REFERENCES

A connection between linearized Gauss–Bonnet gravity and classical electrodynamics

A connection between linearized Gauss–Bonnet gravity and classical electrodynamics is found by developing a procedure which can be used to derive completely gauge-invariant models. The procedure

Einstein-Gauss-Bonnet Gravity in Four-Dimensional Spacetime.

TLDR
A general covariant modified theory of gravity in D=4 spacetime dimensions which propagates only the massless graviton and bypasses Lovelock's theorem is presented and several appealing new predictions of this theory are reported.

Gravity from self-interaction redux

Long ago [1], I presented a compact derivation of GR from an initial free flat space long-range symmetric spin two field: Since special relativity replaces the matter Newtonian scalar mass density by

Generalized Misner-Sharp quasi-local mass in Einstein-Gauss-Bonnet gravity

We investigate properties of a quasi-local mass in a higher-dimensional spacetime having symmetries corresponding to the isomertries of an $(n-2)$-dimensional maximally symmetric space in

General Gauss-Bonnet brane cosmology

We consider five-dimensional spacetimes of constant three-dimensional spatial curvature in the presence of a bulk cosmological constant. We find the general solution of such a configuration in the

Electric-Magnetic Duality Rotations in Non-Linear Electrodynamics

Symmetry properties under arbitrary field redefinitions of the metric energy-momentum tensor in classical field theories and gravity

We derive a generic identity which holds for the metric (i.e. variational) energy–momentum tensor under any field transformation in any generally covariant classical Lagrangian field theory. The

From gravitons to gravity: myths and reality

There is a general belief, reinforced by statements in standard textbooks, that: (i) one can obtain the full nonlinear Einstein theory of gravity by coupling a massless, spin 2 field hab

Dual electromagnetism: helicity, spin, momentum and angular momentum

The dual symmetry between electric and magnetic fields is an important intrinsic property of Maxwell equations in free space. This symmetry underlies the conservation of optical helicity and, as we