On the inverse hoop conjecture of Hod
Abstract Recently, Hod has shown that Thorne’s hoop conjecture ( $$\frac{C(R)}{4\pi M(r\le R)} \le 1\Rightarrow $$ C ( R ) 4 π M ( r ≤ R ) ≤ 1 ⇒ horizon) is violated by stationary black holes and so he proposed a new inverse hoop conjecture characterizing such black holes (that is, horizon $$\Righta...
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oai:doaj.org-article:fc3a1ce56df843e1b600a6c84a2fb6272021-11-14T12:13:43ZOn the inverse hoop conjecture of Hod10.1140/epjc/s10052-021-09791-51434-60441434-6052https://doaj.org/article/fc3a1ce56df843e1b600a6c84a2fb6272021-11-01T00:00:00Zhttps://doi.org/10.1140/epjc/s10052-021-09791-5https://doaj.org/toc/1434-6044https://doaj.org/toc/1434-6052Abstract Recently, Hod has shown that Thorne’s hoop conjecture ( $$\frac{C(R)}{4\pi M(r\le R)} \le 1\Rightarrow $$ C ( R ) 4 π M ( r ≤ R ) ≤ 1 ⇒ horizon) is violated by stationary black holes and so he proposed a new inverse hoop conjecture characterizing such black holes (that is, horizon $$\Rightarrow \mathcal {H =} \frac{\pi \mathcal {A} }{\mathcal {C}_{{eq} }^{2}} \le 1$$ ⇒ H = π A C eq 2 ≤ 1 ). In this paper, it is exemplified that stationary hairy black holes, endowed with Lorentz symmetry violating Bumblebee vector field related to quantum gravity and dilaton field of string theory, also respect the inverse conjecture. It is shown that stationary hairy singularity, recently derived by Bogush and Galt’sov, does not respect the conjecture thereby protecting it. However, curiously, there are two horizonless stationary wormholes that can also respect the conjecture. Thus one may also state that throat $$\Rightarrow \mathcal {H \le }1$$ ⇒ H ≤ 1 , suggesting that the inverse conjecture may be a necessary but not sufficient proposition.K. K. NandiR. N. IzmailovA. A. PotapovN. G. MigranovSpringerOpenarticleAstrophysicsQB460-466Nuclear and particle physics. Atomic energy. RadioactivityQC770-798ENEuropean Physical Journal C: Particles and Fields, Vol 81, Iss 11, Pp 1-4 (2021) |
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Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Astrophysics QB460-466 Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 K. K. Nandi R. N. Izmailov A. A. Potapov N. G. Migranov On the inverse hoop conjecture of Hod |
| description |
Abstract Recently, Hod has shown that Thorne’s hoop conjecture ( $$\frac{C(R)}{4\pi M(r\le R)} \le 1\Rightarrow $$ C ( R ) 4 π M ( r ≤ R ) ≤ 1 ⇒ horizon) is violated by stationary black holes and so he proposed a new inverse hoop conjecture characterizing such black holes (that is, horizon $$\Rightarrow \mathcal {H =} \frac{\pi \mathcal {A} }{\mathcal {C}_{{eq} }^{2}} \le 1$$ ⇒ H = π A C eq 2 ≤ 1 ). In this paper, it is exemplified that stationary hairy black holes, endowed with Lorentz symmetry violating Bumblebee vector field related to quantum gravity and dilaton field of string theory, also respect the inverse conjecture. It is shown that stationary hairy singularity, recently derived by Bogush and Galt’sov, does not respect the conjecture thereby protecting it. However, curiously, there are two horizonless stationary wormholes that can also respect the conjecture. Thus one may also state that throat $$\Rightarrow \mathcal {H \le }1$$ ⇒ H ≤ 1 , suggesting that the inverse conjecture may be a necessary but not sufficient proposition. |
| format |
article |
| author |
K. K. Nandi R. N. Izmailov A. A. Potapov N. G. Migranov |
| author_facet |
K. K. Nandi R. N. Izmailov A. A. Potapov N. G. Migranov |
| author_sort |
K. K. Nandi |
| title |
On the inverse hoop conjecture of Hod |
| title_short |
On the inverse hoop conjecture of Hod |
| title_full |
On the inverse hoop conjecture of Hod |
| title_fullStr |
On the inverse hoop conjecture of Hod |
| title_full_unstemmed |
On the inverse hoop conjecture of Hod |
| title_sort |
on the inverse hoop conjecture of hod |
| publisher |
SpringerOpen |
| publishDate |
2021 |
| url |
https://doaj.org/article/fc3a1ce56df843e1b600a6c84a2fb627 |
| work_keys_str_mv |
AT kknandi ontheinversehoopconjectureofhod AT rnizmailov ontheinversehoopconjectureofhod AT aapotapov ontheinversehoopconjectureofhod AT ngmigranov ontheinversehoopconjectureofhod |
| _version_ |
1718429384671494144 |