Classical tests of general relativity in brane world models

Böhmer, Christian G.; Risi, G. De; Harkó, Tiberiu

doi:10.1088/0264-9381/27/18/185013

Cited by 44 publications

(69 citation statements)

References 93 publications

(92 reference statements)

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“…(25). Observational data [30,31] yield the bound f (β) ≤ (1.89±2.33)×10 −8 , which constrains β (2.80 ± 3.45) × 10 −11 .…”

Section: Whereas Eq (14) Yieldsmentioning

confidence: 86%

“…BW effects in spherically symmetric space-times were comprehensively studied, e.g., in Ref. [30]. In our case, Solar system tests will be employed to bound the MGD parameter β in Eq.…”

Section: Whereas Eq (14) Yieldsmentioning

confidence: 99%

“…(16a) and (16b). Since L is related to the orbit parameters by L = 2πa [30], where T denotes the period of motion, the perihelion advance thus yields…”

Section: Whereas Eq (14) Yieldsmentioning

confidence: 99%

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Classical tests of general relativity: Brane-world Sun from minimal geometric deformation

Casadio¹,

Ovalle²,

Rocha³

2015

EPL

117

139

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-We consider a solution of the effective four-dimensional brane-world equations, obtained from the General Relativistic Schwarzschild metric via the principle of Minimal Geometric Deformation, and investigate the corresponding signatures stemming from the possible existence of a warped extra-dimension. In particular, we derive bounds on an extradimensional parameter, closely related with the fundamental gravitational length, from the experimental results of the classical tests of General Relativity in the Solar system.Introduction. -Brane-world (BW) models [1] represent a well-known branch of contemporary highenergy physics, inspired and supported by string theory. These models are indeed a straightforward 5D phenomenological realisation of the Hořava-Witten supergravity solutions [2], when the hidden brane is moved to infinity along one extra-dimension, and the moduli effects from the remaining compact extra-dimensions may be neglected [3]. The brane self-gravity, encoded in the brane tension σ, is one of the fundamental parameters appearing in all BW models, with σ

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“…(25). Observational data [30,31] yield the bound f (β) ≤ (1.89±2.33)×10 −8 , which constrains β (2.80 ± 3.45) × 10 −11 .…”

Section: Whereas Eq (14) Yieldsmentioning

confidence: 86%

“…BW effects in spherically symmetric space-times were comprehensively studied, e.g., in Ref. [30]. In our case, Solar system tests will be employed to bound the MGD parameter β in Eq.…”

Section: Whereas Eq (14) Yieldsmentioning

confidence: 99%

See 1 more Smart Citation

Classical tests of general relativity: Brane-world Sun from minimal geometric deformation

Casadio¹,

Ovalle²,

Rocha³

2015

EPL

117

139

View full text Add to dashboard Cite

show abstract

“…For a review of the black hole properties and of lensing effects in brane world models see [91]. Further work on lensing in brane worlds is presented in [121][122][123][124][125] and current observational constraints on the model parameters from classical, solar-system, tests are contained in [126,127].…”

Section: Introductionmentioning

confidence: 99%

Null fluid collapse in brane world models

Harkó

Lake

2014

Phys. Rev. D

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The brane world description of our universe entails a large extra dimension and a fundamental scale of gravity that may be lower than the Planck scale by several orders of magnitude. An interesting consequence of this scenario occurs in the nature of spherically-symmetric vacuum solutions to the brane gravitational field equations, which often have properties quite distinct from the standard black hole solutions of general relativity. In this paper, the spherically-symmetric collapse on the brane world of four types of null fluid, governed by the barotropic, polytropic, strange quark "bag" model and Hagedorn equations of state, is investigated. In each case, we solve the approximate gravitational field equations, obtained in the high density limit, determine the equation which governs the formation of apparent horizons and investigate the conditions for the formation of naked singularities. Though, naively, one would expect the increased effective energy density on the brane to favor the formation of black holes over naked singularities, we find that, for the types of fluid considered, this is not the case. However, the black hole solutions differ substantially from their general-relativistic counterparts and brane world corrections often play a role analogous to charge in general relativity. As an astrophysical application of this work, the possibility that energy emission from a Hagedorn fluid collapsing to form a naked singularity may be a source of GRBs in the brane world is also considered.

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“…Scalar-tensor (ST) gravity theories, in particular, provide an appropriate theoretical framework for the variation of Newton's gravitational constant, which is induced by the dynamics of a scalar-field non-minimally coupled to the space-time geometry. The experimental scrutiny of scalar-tensor gravity theories requires a detailed analysis of their post-newtonian features, and is encapsulated into the so-called parametrised post-newtonian formalism (PPN) [1][2][3]10]. This procedure assumes two hypothesis: On the one hand, that there should be a weak field limit of the GR solution; On the other hand that the latter corresponds to the limit case of a given ST solution.…”

Section: Introductionmentioning

confidence: 99%

The Variation of G in a Negatively Curved Space-Time

Mimoso¹

2011

Astrophysics and Space Science Proceedings

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Scalar-tensor (ST) gravity theories provide an appropriate theoretical framework for the variation of Newton's fundamental constant, conveyed by the dynamics of a scalar-field non-minimally coupled to the space-time geometry. The experimental scrutiny of scalar-tensor gravity theories has led to a detailed analysis of their post-newtonian features, and is encapsulated into the so-called parametrised post-newtonian formalism (PPN). Of course this approach can only be applied whenever there is a newtonian limit, and the latter is related to the GR solution that is generalized by a given ST solution under consideration. This procedure thus assumes two hypothesis: On the one hand, that there should be a weak field limit of the GR solution; On the other hand that the latter corresponds to the limit case of given ST solution. In the present work we consider a ST solution with negative spatial curvature. It generalizes a general relativistic solution known as being of a degenerate class (A) for its unusual properties. In particular, the GR solution does not exhibit the usual weak field limit in the region where the gravitational field is static. The absence of a weak field limit for the hyperbolic GR solution means that such limit is also absent for comparison with the ST solution, and thus one cannot barely apply the PPN formalism. We therefore analyse the properties of the hyperbolic ST solution, and discuss the question o defining a generalised newtonian limit both for the GR solution and for the purpose of contrasting it with the ST solution. This contributes a basic framework to build up a parametrised pseudo-newtonian formalism adequate to test ST negatively curved space-times.

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Classical tests of general relativity in brane world models

Cited by 44 publications

References 93 publications

Classical tests of general relativity: Brane-world Sun from minimal geometric deformation

Classical tests of general relativity: Brane-world Sun from minimal geometric deformation

Null fluid collapse in brane world models

The Variation of G in a Negatively Curved Space-Time

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