GRG Editor's Choice: Higher curvature gravities, unlike GR, cannot be bootstrapped from their (usual) linearizations
Deser, S., Higher curvature gravities, unlike GR, cannot be bootstrapped from their (usual) linearizations, Gen Relativ Gravit (2017) 49: 149. https://doi.org/10.1007/s10714-017-2308-6
Editor's Choice (Research Article)
First Online: 07 November 2017
"This paper extends the author's original contribution from 1970 to a broad class of theories that modify general relativity. The result is a paper that provides a continuation of the 1970 story. The author's style and commitment to exposing the structural elements of the procedure make for a very nice article that reads well and serves a useful and illuminating purpose in the 'extensions of GR' literature."
We show that higher curvature order gravities, in particular the propagating quadratic curvature models, cannot be derived by self-coupling from their linear, flat space, forms, except through an unphysical version of linearization; only GR can. Separately, we comment on an early version of the self-coupling bootstrap.
Prof. Stanley Deser is Emeritus Professor of Physics at Brandeis University and a Senior Research Associate at California Institute of Technology, USA. His research interests include quantum theory of fields, elementary particles, gravitation, supergravity, and strings.
GRG Editor's Choice:
In each volume of GRG, a few papers are marked as “Editor’s Choice”. The primary criteria is original, high quality research that is of wide interest within the community.