scholarly journals The charged black-hole bomb: A lower bound on the charge-to-mass ratio of the explosive scalar field

2016 ◽  
Vol 755 ◽  
pp. 177-182 ◽  
Author(s):  
Shahar Hod
2018 ◽  
Vol 33 (27) ◽  
pp. 1850159 ◽  
Author(s):  
Shad Ali ◽  
Xin-Yang Wang ◽  
Wen-Biao Liu

Christodoulou and Rovelli have shown that the interior volume of a Schwarzschild black hole grows linearly with time. The entropy of a scalar field in this interior volume of a Schwarzschild black hole has been calculated and shown to increase linearly with the advanced time too. In this paper, considering Hawking radiation from a d-dimensional charged black hole, we investigate the proportional relation between the entropy of the scalar field in the interior volume and the Bekenstein–Hawking entropy using the method of our previous work. We also derive this proportionality relation using Hamiltonian analysis and find a consistent result. We then investigate the proportionality coefficient with respect to d and find that it gradually decreases as the dimension of space–time increases.


2005 ◽  
Vol 71 (6) ◽  
Author(s):  
Jakob Hansen ◽  
Alexei Khokhlov ◽  
Igor Novikov

2020 ◽  
Vol 496 (1) ◽  
pp. L16-L21 ◽  
Author(s):  
Elias R Most ◽  
Lukas R Weih ◽  
Luciano Rezzolla

ABSTRACT The first binary neutron star merger event, GW170817, and its bright electromagnetic counterpart have provided a remarkable amount of information. By contrast, the second event, GW190425, with $M_{\rm tot}=3.4^{+0.3}_{-0.1}\, \mathrm{ M}_{\odot }$ and the lack of an electromagnetic counterpart, has hardly improved our understanding of neutron star physics. While GW190425 is compatible with a scenario in which the merger has led to a prompt collapse to a black hole and little ejected matter to power a counterpart, determining the mass ratio and the effective spin $\tilde{\chi }$ of the binary remains difficult. This is because gravitational waveforms cannot yet well constrain the component spins of the binary. However, since the mass of GW190425 is significantly larger than the maximum mass for non-rotating neutron stars, $M_{_{\rm TOV}}$, the mass ratio q cannot be too small, as the heavier star would not be gravitationally stable. Making use of universal relations and a large number of equations of state, we provide limits in the $(\tilde{\chi },q)$ plane for GW190425, namely qmin ≥ 0.38 and $\tilde{\chi }_{\rm max}\le 0.20$, assuming $M_\mathrm{tot} \simeq 3.4\, \mathrm{ M}_\odot$. Finally, we show how future observations of high-mass binaries can provide a lower bound on $M_{_{\rm TOV}}$.


2017 ◽  
Vol 95 (4) ◽  
Author(s):  
Carolina L. Benone ◽  
Ednilton S. de Oliveira ◽  
Sam R. Dolan ◽  
Luís C. B. Crispino

2002 ◽  
Vol 11 (10) ◽  
pp. 1561-1566 ◽  
Author(s):  
LIOR M. BURKO

We study numerically the evolution of space-time inside a black hole under perturbations of non-compact support. Using a very simplified toy model of a spherical charged black hole which is perturbed nonlinearly by a self-gravitating, spherical scalar field, we find that a portion of the Cauchy horizon survives as a non-central, null singularity.


1999 ◽  
Vol 14 (15) ◽  
pp. 1015-1019 ◽  
Author(s):  
LIOR M. BURKO

We study the Cauchy horizon singularity inside a spherical charged black hole, coupled to a self-gravitating scalar field. We show that all the radial causal geodesics terminate at a weak singularity according to the Tipler classification. Our result is valid anywhere along the singularity, in particular in the regime where nonlinear effects are crucial.


2012 ◽  
Vol 27 (22) ◽  
pp. 1250128 ◽  
Author(s):  
D. MOMENI ◽  
M. R. SETARE ◽  
RATBAY MYRZAKULOV

We study analytical properties of the Stuckelberg holographic superconductors with Weyl corrections. We obtain the minimum critical temperature as a function of the mass of the scalar field m2. We show that in limit of the [Formula: see text] which is close to the numerical estimate [Formula: see text]. Further we show that the mass of the scalar field is bounded from below by the [Formula: see text] where [Formula: see text]. This lower bound is weaker and different from the previous lower bound m2 = -3 predicted by stability analysis. We show that in the Breitenlohner–Freedman bound, the critical temperature remains finite. Explicitly, we prove that here there exists a linear relation between 〈OΔ〉 and the chemical potential.


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