2010
DOI: 10.1007/s10714-010-0991-7
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Asymptotically FRW black holes

Abstract: Application of concepts like black hole and event horizon in cosmological context are not trivial, as has been shown in the last decade. We introduce special solutions of the LTB family representing collapsing over-dense regions extending to an expanding closed, open, or flat FRW model asymptotically. We study the dynamics of the collapsing region, and its density profile. The question of the strength of the central singularity and its nakedness, as well as the existence of an apparent horizon and an event hor… Show more

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Cited by 43 publications
(67 citation statements)
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References 48 publications
(103 reference statements)
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“…Taking the linear case f (T ) = T , the second and third equations of (42) yield again the constraint (29) well known in the metric of LTB. In order to compare with the example taken in the diagonal case, we put p r = p t = 0 in (14) and rewrite the first equation of (42) as…”
Section: Dust-dominated Universementioning
confidence: 99%
See 1 more Smart Citation
“…Taking the linear case f (T ) = T , the second and third equations of (42) yield again the constraint (29) well known in the metric of LTB. In order to compare with the example taken in the diagonal case, we put p r = p t = 0 in (14) and rewrite the first equation of (42) as…”
Section: Dust-dominated Universementioning
confidence: 99%
“…A particular case of these solutions is that of LT [8]. The models have been used in redshift drift [10], CMB [11], interpretation of supernova observations [12], averaging [13], formation of black holes [14], of galaxy clusters [15], superclusters [16], cosmic voids [18] and collapse from the perspective of loop quantum gravity [17].…”
Section: Introductionmentioning
confidence: 99%
“…And second many unknowns remains regarding collapsing structures and the process of formation of a black hole. Constructing such cosmological collapsing structures is not only useful to explore non-linear effect of GR but also to explore quasi-local features of that structure such as masses and horizons [5], black hole thermodynamics and Hawking radiation [6][7][8][9] or the validity of the weak field approximation [10].…”
Section: Introductionmentioning
confidence: 99%
“…It is furthermore possible to (asymptotically) recover the FLRW metric from the LTB one for a suitable choice of the free functions of the LTB metric. The LTB metric has been applied to various physical systems ranging from modeling radial inhomogeneities [38] or fractal pattern [39] on cosmological scales, to investigate singularity theorems or nucleus in nuclear physics [40], it is shown in [5,41] that the LTB metric admits a cosmological black hole solution.…”
Section: Introductionmentioning
confidence: 99%
“…There is however another area in the cosmology and astrophysics where general relativistic effects may come in without being in a strong gravity regime. This happens when one is dealing with non-local or large scale phenomena [7][8][9][10]12]. The expansion of the universe, as an example, is a general relativistic effect at large scale in a very weak gravity regime: assuming any non-zero density, however small it may be, Einstein equations lead to a non-static expanding universe, in contrast to the Newtonian gravity.…”
Section: Introductionmentioning
confidence: 99%