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Geometric Massive Gravity in Multi-Connection Framework · Around

2013

Geometric Massive Gravity in Multi-Connection Framework

Khosravi, Nima

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What is the right way to interpret a massive graviton? We generalize the kinematical framework of general relativity to multiple connections.

The average of the connections is itself a connection and plays the role of the canonical connection in standard General Relativity.
At the level of dynamics, the simplest choice of the Einstein-Hilbert action is indistinguishable from the single-connection case.
However, inspired by Weyl geometry, we show how one can construct massive gravity to all orders in perturbation theory compatible with the de Rham-Gabadadze-Tolley ghost-free model.

Built on

M. Fierz, Helv. Phys. Acta 12 (1939) 3, M. Fierz and W. Pauli, On Relativistic Wave Equations for Particles of Arbitrary Spin in an Electromagnetic Field
1939
Earlier work this paper cites.
D. G. Boulware and S. Deser, “ Can gravitation have a Finite range?
1972
Earlier work this paper cites.
M. Milgrom, “ Bimetric MOND gravity
Original
2009
Earlier work this paper cites.
N. Rosen, “ General Relativity and Flat Space. I
Original
2011
Earlier work this paper cites.

Similar

S. F. Hassan and R. A. Rosen, “ On Non-Linear Actions for Massive Gravity
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2011
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C. de Rham, G. Gabadadze and A. J. Tolley,“ Resummation of Massive Gravity
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2011
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T. Clifton, P. G. Ferreira, A. Padilla and C. Skordis, Modified Gravity and Cosmology
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Cited alongside, same era.

Then

C. de Rham and G. Gabadadze, “ Generalization of the Fierz-Pauli Action
Original
2012
Later among the works it cites.
J. Ehlers, F. A. E. Pirani and A. Schild, “ The geometry of free fall and light propagation
2012
Later among the works it cites.
N. Tamanini, “ Variational approach to gravitational theories with two independent connections
Original
2012
Later among the works it cites.

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