On the hoop conjecture in Einstein gravity coupled to nonlinear electrodynamics

Nandi, K. K.; Izmailov, R. N.; Garipova, G. M.; Volotskova, R.R.; Potapov, Alexander A.

doi:10.1016/j.physletb.2020.135734

Cited by 5 publications

(6 citation statements)

References 17 publications

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“…The spinning Kerr-like black hole [5] metric in the Bumblebee gravity in Boyer-Lindquist coordinates is dτ 2 = g tt dt 2 + g rr dr 2 + g θθ dθ 2 + g ϕϕ dϕ 2 + 2g tϕ dtdϕ, (3) 0123456789(). : V,-vol where ≥ 0 is the Lorentz symmetry violating parameter defined by λ = √ 1 + and…”

Section: Bumblebee Gravity Spinning Black Holementioning

confidence: 99%

“…The static Damour-Solodukhin wormhole [11] has been generalized to a stationary wormhole by Bueno et al [12] having the metric of the same form as (3)(4)(5)(6)(7)(8)(9)(10)(11) but with only a redefined Δ → Δ given by…”

Section: Damour-solodukhin Stationary Wormholementioning

confidence: 99%

“…To view a copy of this licence, visit http://creativecomm ons.org/licenses/by/4.0/. Funded by SCOAP 3 .…”

Section: Remarksmentioning

confidence: 99%

“…is the horizon radial coordinate, C eq is the equatorial circumference length of horizon, Q is the electric charge, a is the spin, Λ is the cosmological constant (It would be only fair to call H the Hod function, a prototype of which for static black holes was already defined and denoted by H in [3]). The inequality (2) embodying the inverse conjecture is consistent also with a time-dependent (oscillating) equatorial and polar circumferences of non-stationary black hole horizons [4].…”

Section: Introductionmentioning

confidence: 99%

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On the inverse hoop conjecture of Hod

et al. 2021

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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.

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Section: Bumblebee Gravity Spinning Black Holementioning

confidence: 99%

Section: Damour-solodukhin Stationary Wormholementioning

confidence: 99%

“…To view a copy of this licence, visit http://creativecomm ons.org/licenses/by/4.0/. Funded by SCOAP 3 .…”

Section: Remarksmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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On the inverse hoop conjecture of Hod

et al. 2021

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“…To avoid such violations, Hod [21] suggested that the mass term on the r.h.s of (1) should be interpreted as the gravitational mass M(r ≤ R) contained within the engulfing hoop of radius R and not as the total (asymptotically measured) mass M ∞ of the entire spacetime. The mass M(r ≤ R) summarizes the conjecture in terms of what we call Hod function H , which was first used in [22].…”

Section: Introductionmentioning

confidence: 99%

Testing generalized spacetimes for black holes using the Hod function representation of the hoop conjecture

et al. 2022

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The hoop conjecture, due to Thorne, is a fundamental aspect of black holes in classical general relativity. Recently, generalized classes of regular spherically symmetric static black holes with arbitrary exponents coupled to nonlinear electrodynamics have been constructed in the literature. The conjecture in those spacetimes could be violated if only the asymptotic mass $$M_{\infty }$$ M ∞ is used. To avoid such violations, Hod earlier suggested the appropriate mass function and stated the conjecture in terms of what we call the Hod function. The conjecture can then be applied to any given static spacetime to test whether or not it represents black holes. It is shown here that the conjecture is protected in the above constructed class of generalized spacetimes thus supporting them as black holes. However, it is argued that there are factors, including violation of the conjecture, that militate against the proposed new class of solutions to be qualifying as black holes. Finally, we exemplify that the Hod mass $$M(r\le R)$$ M ( r ≤ R ) in the conjecture is exactly the matter counterpart of the Misner–Sharp geometrical quasilocal mass $$m(r\le R)$$ m ( r ≤ R ) of general relativity. Thus any conclusion based on Hod function is strictly a conclusion of general relativity.

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