2010
DOI: 10.1007/s10714-010-1123-0
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Solar system constraints on asymptotically flat IR modified Hořava gravity through light deflection

Abstract: In this paper, we study the motion of photons around a KehagiasSfetsos (KS) black hole and obtain constraints on IR modified Hořava gravity without cosmological constant (∼ W ). An analytic formula for the light deflection angle is obtained. For a propagating photon, the deflection angle δϕ increases with large values of the Hořava gravity parameter ω. Under the UV limit ω −→ ∞, deflection angle reduces to the result of usual Schwarzschild case, 4G M/R. It is also found that with increasing scale of astronomic… Show more

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Cited by 16 publications
(23 citation statements)
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“…For the case ω KS M 2 ≥ 1/2, the solution describes a black hole with an event horizon, while for ω KS M 2 < 1/2 it describes a naked singularity. The limits/constraints on ω KS obtained by using the observational tests do not exclude the existence of the compact objects described by KS solution [4][5][6]. For example, the Solar system test gives the limit of ω KS > 3.2 × 10 20 cm 2 and implies that the total mass of the object cannot exceed 2.6 × 10 4 M [6].…”
Section: Introductionmentioning
confidence: 97%
“…For the case ω KS M 2 ≥ 1/2, the solution describes a black hole with an event horizon, while for ω KS M 2 < 1/2 it describes a naked singularity. The limits/constraints on ω KS obtained by using the observational tests do not exclude the existence of the compact objects described by KS solution [4][5][6]. For example, the Solar system test gives the limit of ω KS > 3.2 × 10 20 cm 2 and implies that the total mass of the object cannot exceed 2.6 × 10 4 M [6].…”
Section: Introductionmentioning
confidence: 97%
“…tional limits on ω [17][18][19] do not exclude the existence of stellar-mass K-S naked singularities. In fact, various tests indicate values compatible with the naked singularity, not a black hole solution for the family of K-S metrics.…”
Section: Introductionmentioning
confidence: 99%
“…However, if the product ωM 2 < 1 2 , there are no horizons and the curvature singularity at r = 0 becomes visible to asymptotic observers, which is called a naked singularity. The observational constraints on the value of ω presented in [12,17,18], do not exclude the existence of the KS naked singularities, hence, in light of these observational facts, it is very important to focus on the naked singularities in the KS spacetimes. It is shown in [19] that the optical signatures of the KS naked singularity is different from the signatures of the standard black holes in classical general relativity.…”
Section: Introductionmentioning
confidence: 99%