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2024

Mass spectrum and linear perturbations of ghost-free multi-spin-2 theory

Flinckman, J., Hassan, S. F.

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Motivated by the spin-2 nature of gravity, we consider a theory of N interacting spin-2 fields, formulated in terms of vielbeins which have been argued to be free of the Boulware-Deser ghost.

This is the only known such theory with nontrivial multi-field interactions.
We develop an all-order expansion of the vielbein in terms of the metric and Lorentz field perturbations, enabling an expansion of the action in arbitrary backgrounds to any order.
The mass matrix is then analysed around proportional vielbein solutions corresponding to vacuum Einstein spacetimes.

Mass spectrum and linear perturbations of ghost-free multi-spin-2 theory · Around

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Z. Molaee and A. Shirzad, Hamiltonian formalism of the ghost free Tri(-Multi)gravity theory , Class. Quant. Grav. 38
Original
1908
Earlier work this paper cites.
M. Lüben, A. Schmidt-May and J. Smirnov, Vainshtein Screening in Bimetric Cosmology , Phys. Rev. D 102
Original
1912
Earlier work this paper cites.
M. Fierz and W. Pauli, On relativistic wave equations for particles of arbitrary spin in an electromagnetic field , Proc. Roy. Soc. Lond. A 173
1939
Earlier work this paper cites.
W. Pauli and M. Fierz, On Relativistic Field Equations of Particles With Arbitrary Spin in an Electromagnetic Field , Helv. Phys. Acta 12
1939
Earlier work this paper cites.
C. Miranda, Un’osservazione su un teorema di Brouwer , Boll. Unione Mat. Ital., II. Ser. 3
1940
Earlier work this paper cites.
D.G. Boulware and S. Deser, Can gravitation have a finite range? , Phys. Rev. D 6
1972
Earlier work this paper cites.
http://www.jstor.org/stable/2028604
G.H. Golub, Some modified matrix eigenvalue problems , SIAM Review 15 · 1973
Earlier work this paper cites.
https://www.sciencedirect.com/science/article/pii/0024379576900446
R. Thompson, The behavior of eigenvalues and singular values under perturbations of restricted rank , Linear Algebra and its Applications 13 · 1976
Earlier work this paper cites.
https://doi.org/10.1007/BF01396012
J.R. Bunch, C.P. Nielsen and D.C. Sorensen, Rank-one modification of the symmetric eigenproblem , Numerische Mathematik 31 · 1978
Earlier work this paper cites.
P. Breitenlohner and D.Z. Freedman, Stability in Gauged Extended Supergravity , Annals Phys. 144
1982
Earlier work this paper cites.
A. Higuchi, Forbidden Mass Range for Spin-2 Field Theory in De Sitter Space-time , Nucl. Phys. B 282
1987
Earlier work this paper cites.
http://www.jstor.org/stable/2975081
W. Kulpa, The poincaré-miranda theorem , The American Mathematical Monthly 104 · 1997
Earlier work this paper cites.
N. Boulanger, T. Damour, L. Gualtieri and M. Henneaux, Inconsistency of interacting, multigraviton theories , Nucl. Phys. B 597
2001
Earlier work this paper cites.
A. Dokhani, Z. Molaee and A. Shirzad, Gauge generator for bi-gravity and multi-gravity models , Nucl. Phys. B 966
Original
2001
Earlier work this paper cites.

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