2018
DOI: 10.1140/epjc/s10052-018-6317-8
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Cosmological model due to dimensional reduction of higher-dimensional massive gravity theory

Abstract: We investigate a cosmological model resulting from a dimensional reduction of the higherdimensional dRGT massive gravity. By using the Kaluza-Klein dimensional reduction, we obtain an effective four-dimensional massive gravity theory with a scalar field. It is found that the resulting theory corresponds to a combined description of mass-varying massive gravity and quasi-dilaton massive gravity. By analyzing the cosmological solution, we found that it is possible to obtain the late-time expansion of the univers… Show more

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Cited by 5 publications
(3 citation statements)
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References 111 publications
(127 reference statements)
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“…It is important to note that the potential terms include the non-dynamical metric f µν called the fiducial metric or the reference metric. The form of solution of the physical metric g µν significantly depends on the form of the fiducial metric [64,65,66]. The corresponding equation of motion to the above action can be written as…”
Section: Drgt Black String Backgroundmentioning
confidence: 99%
“…It is important to note that the potential terms include the non-dynamical metric f µν called the fiducial metric or the reference metric. The form of solution of the physical metric g µν significantly depends on the form of the fiducial metric [64,65,66]. The corresponding equation of motion to the above action can be written as…”
Section: Drgt Black String Backgroundmentioning
confidence: 99%
“…where R is the Ricci scalar and U is a potential for the graviton which modifies the gravitational sector with the parameter m g interpreted as graviton mass. It is important to note that the form of the fiducial metric f µν can provide a significant form of the physical metric g µν [57][58][59]. Note that for the following calculations, we adopt the natural unit by which the Newtonian gravitational constant is unity, i.e.…”
Section: Drgt Massive Gravitymentioning
confidence: 99%
“…From the perspective of astrophysics, massive gravity is studied for neutron star [67,68], white dwarfs [69], and dark energy [70], which leads to small deviation from the general relativity and the cosmological behavior of this gravity has been studied in [71][72][73][74].…”
Section: Introductionmentioning
confidence: 99%