Covariant Approach to the No-Ghost Theorem in Massive Gravity

Covariant approach to the no-ghost theorem in massive gravity

Progress of Theoretical and Experimental Physics ◽

10.1093/ptep/ptu046 ◽

2014 ◽

Vol 2014 (4) ◽

pp. 43B04-0 ◽

Cited By ~ 22

Author(s):

T. Kugo ◽

N. Ohta

Keyword(s):

Massive Gravity ◽

Covariant Approach

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Gravitational wave echoes from black holes in massive gravity

Physical Review D ◽

10.1103/physrevd.103.024058 ◽

2021 ◽

Vol 103 (2) ◽

Author(s):

Ruifeng Dong ◽

Dejan Stojkovic

Keyword(s):

Black Holes ◽

Gravitational Wave ◽

Massive Gravity

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Cosmological perturbations in Gauss-Bonnet quasi-dilaton massive gravity

Physical Review D ◽

10.1103/physrevd.103.123518 ◽

2021 ◽

Vol 103 (12) ◽

Author(s):

Amin Rezaei Akbarieh ◽

Sobhan Kazempour ◽

Lijing Shao

Keyword(s):

Massive Gravity ◽

Cosmological Perturbations

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Thurston Geometries in Three-Dimensional New Massive Gravity

Physical Review Letters ◽

10.1103/physrevlett.127.061102 ◽

2021 ◽

Vol 127 (6) ◽

Author(s):

Daniel Flores-Alfonso ◽

Cesar S. Lopez-Monsalvo ◽

Marco Maceda

Keyword(s):

Three Dimensional ◽

Massive Gravity ◽

Thurston Geometries

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Massive gravity from double copy

Journal of High Energy Physics ◽

10.1007/jhep12(2020)030 ◽

2020 ◽

Vol 2020 (12) ◽

Cited By ~ 1

Author(s):

Arshia Momeni ◽

Justinas Rumbutis ◽

Andrew J. Tolley

Keyword(s):

Sigma Model ◽

Massive Gravity ◽

Effective Field ◽

Effective Theory ◽

Nonlinear Sigma Model ◽

Limit Theory ◽

Four Dimensions ◽

Yang Mills ◽

Massive Spin ◽

Double Copy

Abstract We consider the double copy of massive Yang-Mills theory in four dimensions, whose decoupling limit is a nonlinear sigma model. The latter may be regarded as the leading terms in the low energy effective theory of a heavy Higgs model, in which the Higgs has been integrated out. The obtained double copy effective field theory contains a massive spin-2, massive spin-1 and a massive spin-0 field, and we construct explicitly its interacting Lagrangian up to fourth order in fields. We find that up to this order, the spin-2 self interactions match those of the dRGT massive gravity theory, and that all the interactions are consistent with a Λ3 = (m2MPl)1/3 cutoff. We construct explicitly the Λ3 decoupling limit of this theory and show that it is equivalent to a bi-Galileon extension of the standard Λ3 massive gravity decoupling limit theory. Although it is known that the double copy of a nonlinear sigma model is a special Galileon, the decoupling limit of massive Yang-Mills theory is a more general Galileon theory. This demonstrates that the decoupling limit and double copy procedures do not commute and we clarify why this is the case in terms of the scaling of their kinematic factors.

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The third way to 3D gravity

International Journal of Modern Physics D ◽

10.1142/s0218271815440150 ◽

2015 ◽

Vol 24 (12) ◽

pp. 1544015 ◽

Cited By ~ 11

Author(s):

Eric Bergshoeff ◽

Wout Merbis ◽

Alasdair J. Routh ◽

Paul K. Townsend

Keyword(s):

Equations Of Motion ◽

Massive Gravity ◽

De Sitter ◽

Gravitational Field Equation ◽

Third Way ◽

Metric Tensor ◽

The Third ◽

Higher Dimensional ◽

Conservation Condition ◽

3D Gravity

Consistency of Einstein’s gravitational field equation [Formula: see text] imposes a “conservation condition” on the [Formula: see text]-tensor that is satisfied by (i) matter stress tensors, as a consequence of the matter equations of motion and (ii) identically by certain other tensors, such as the metric tensor. However, there is a third way, overlooked until now because it implies a “nongeometrical” action: one not constructed from the metric and its derivatives alone. The new possibility is exemplified by the 3D “minimal massive gravity” model, which resolves the “bulk versus boundary” unitarity problem of topologically massive gravity with Anti-de Sitter asymptotics. Although all known examples of the third way are in three spacetime dimensions, the idea is general and could, in principle, apply to higher dimensional theories.

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