2017
DOI: 10.1140/epjc/s10052-017-5138-5
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Gravity stabilizes itself

Abstract: We show that a possible resolution to the stabilization of an extra spatial dimension (radion) can be obtained solely in the context of gravitational dynamics itself without the necessity of introducing any external stabilizing field. In this scenario the stabilized value of the radion field gets determined in terms of the parameters appearing in the higher curvature gravitational action. Furthermore, the mass of the radion field and its coupling to the standard model fields are found to be in the weak scale i… Show more

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Cited by 27 publications
(28 citation statements)
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References 89 publications
(130 reference statements)
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“…This in turn is expected to leave some observable imprint on the strong field tests for gravitational interaction. To understand how the gravitational dynamics on the brane is modified in a quantitative manner, the higher dimensional gravitational field equations are expressed in terms of the four dimensional quantities [29][30][31][32][33][34]. Black hole solutions associated with such effective gravitational field equations [30,31,35,36] often inherit a tidal charge from the extra dimensions which unlike GR can also be negative.…”
Section: Introductionmentioning
confidence: 99%
“…This in turn is expected to leave some observable imprint on the strong field tests for gravitational interaction. To understand how the gravitational dynamics on the brane is modified in a quantitative manner, the higher dimensional gravitational field equations are expressed in terms of the four dimensional quantities [29][30][31][32][33][34]. Black hole solutions associated with such effective gravitational field equations [30,31,35,36] often inherit a tidal charge from the extra dimensions which unlike GR can also be negative.…”
Section: Introductionmentioning
confidence: 99%
“…Consequently, there have been several approaches to modify the structure of the gravitational action. Among the various proposals the most prominent ones include, e.g., f (R) gravity [28][29][30][31][32][33], Lovelock theories [34][35][36][37][38][39][40], scalar-tensor theories/Horndeski models [41][42][43][44][45][46][47][48][49][50] and theories with extra spatial dimensions [51][52][53][54][55][56][57][58][59][60][61][62] (see also [63]).…”
Section: Introductionmentioning
confidence: 99%
“…The most widely used observational probe for extra dimensions come from particle physics experiments [77][78][79][80][81][82][83]. In addition, they have interesting implications in inflationary cosmology [84][85][86][87][88][89][90][91][92][93][94] and often offer exciting surrogates to the elusive dark energy [51][52][53][54][55][56][57][58][59][60][61][62] and dark matter [95][96][97][98][99]. In the context of gravitational waves they modify the quasi-normal modes emanating from the perturbed black holes with signatures distinct from general relativity [100][101][102][103][104][105].…”
Section: Introductionmentioning
confidence: 99%
“…Among the modifications of the Einstein-Hilbert action originating from the inclusion of higher curvature terms, a few are of considerable interest. In particular, f (R) theories of gravity has drawn significant interest in the past few years due to its ability to explain the late time cosmic acceleration [21][22][23][24][25][26][27][28][29][30][31][32][33] and its close correspondence with scalar-tensor theories of gravity [34][35][36][37][38][39][40][41]. In addition Lovelock theories of gravity [42][43][44][45][46][47][48][49], f (T ) gravity [50][51][52][53][54][55], higher dimensional along with higher curvature modifications to gravitational dynamics [56][57][58][59][60][61] play crucial roles in explaining various scenarios among the alternative gravity theories.…”
Section: Introductionmentioning
confidence: 99%