Mass inflation in aD-dimensional Reissner-Nordström black hole: A hierarchy of particle accelerators?

The internal structure of a charged spherical black hole is still a topic of debate. In a non-rotating but aspherical gravitational collapse to form a spherical charged black hole, the backscattered gravitational wave tails enter the black hole and are blueshifted at the Cauchy horizon. This has a catastrophic effect if combined with an outflux crossing the Cauchy horizon: a singularity develops at the Cauchy horizon and the effective mass inflates. Recently, a numerical study of a massless scalar field in the Reissner-Nordström background suggested that a spacelike singularity may form before the Cauchy horizon forms. We will show that there exists an approximate analytic solution of the scalar-field equations which allows the mass-inflation singularity at the Cauchy horizon to exist. In particular, we see no evidence that the Cauchy horizon is preceded by a spacelike singularity.

Download Full-text

Another Mechanism which Can Prevent Infinite Collision Energy via Black Hole as Particle Accelerators

International Journal of Theoretical Physics ◽

10.1007/s10773-012-1415-0 ◽

2012 ◽

Vol 52 (3) ◽

pp. 1020-1026

Author(s):

Chikun Ding ◽

Siyuan Lin ◽

Junfeng Li ◽

Peng Wang ◽

Qian Li ◽

...

Keyword(s):

Black Hole ◽

Collision Energy ◽

Particle Accelerators

Download Full-text

Mass inflation in a rotating charged black hole

Physical Review D ◽

10.1103/physrevd.53.7373 ◽

1996 ◽

Vol 53 (12) ◽

pp. 7373-7376 ◽

Cited By ~ 11

Author(s):

Alfio Bonanno

Keyword(s):

Black Hole ◽

Charged Black Hole ◽

Mass Inflation

Download Full-text

Inner structure of a charged black hole: An exact mass-inflation solution

Physical Review Letters ◽

10.1103/physrevlett.67.789 ◽

1991 ◽

Vol 67 (7) ◽

pp. 789-792 ◽

Cited By ~ 195

Author(s):

Amos Ori

Keyword(s):

Black Hole ◽

Charged Black Hole ◽

Exact Mass ◽

Mass Inflation

Download Full-text

Remarks on non-singular black holes

EPJ Web of Conferences ◽

10.1051/epjconf/201816801001 ◽

2018 ◽

Vol 168 ◽

pp. 01001 ◽

Cited By ~ 4

Author(s):

Valeri P. Frolov

Keyword(s):

Black Holes ◽

Black Hole ◽

Apparent Horizon ◽

External Observer ◽

Quantum Radiation ◽

Black Hole Background ◽

Black Hole Interior ◽

Mass Inflation ◽

The Given ◽

Self Consistency

We briefly discuss non-singular black hole models, with the main focus on the properties of non-singular evaporating black holes. Such black holes possess an apparent horizon, however the event horizon may be absent. In such a case, the information from the black hole interior may reach the external observer after the complete evaporation of the black hole. This model might be used for the resolution of the information loss puzzle. However, as we demonstrate, in a general case the quantum radiation emitted from the black hole interior, calculated in the given black hole background, is very large. This outburst of the radiation is exponentially large for models with the redshift function α = 1. We show that it can be suppressed by including a non-trivial redshift function. However, even this suppression is not enough to guarantee self-consistency of the model. This problem is a manifestation of a general problem, known as the "mass inflation". We briefly comment on possible ways to overcome this problem in the models of non-singular evaporating black holes.

Download Full-text

COLLAPSING AND STATIC THIN MASSIVE CHARGED DUST SHELLS IN A REISSNER–NORDSTRÖM BLACK HOLE BACKGROUND IN HIGHER DIMENSIONS

International Journal of Modern Physics A ◽

10.1142/s0217751x08041402 ◽

2008 ◽

Vol 23 (19) ◽

pp. 2943-2960 ◽

Cited By ~ 25

Author(s):

SIJIE GAO ◽

JOSÉ P. S. LEMOS

Keyword(s):

Black Hole ◽

Thin Shell ◽

Rest Mass ◽

Higher Dimensions ◽

Space Time ◽

Particle Accelerators ◽

Charged Dust ◽

Empty Interior ◽

Gravitational Radius ◽

Black Hole Background

The problem of a spherically symmetric charged thin shell of dust collapsing gravitationally into a charged Reissner–Nordström black hole in d space–time dimensions is studied within the theory of general relativity. Static charged shells in such a background are also analyzed. First, a derivation of the equation of motion of such a shell in a d-dimensional space–time is given. Then, a proof of the cosmic censorship conjecture in a charged collapsing framework is presented, and a useful constraint which leads to an upper bound for the rest mass of a charged shell with an empty interior is derived. It is also proved that a shell with total mass equal to charge, i.e. an extremal shell, in an empty interior, can only stay in neutral equilibrium outside its gravitational radius. This implies that it is not possible to generate a regular extremal black hole by placing an extremal dust thin shell within its own gravitational radius. Moreover, it is shown, for an empty interior, that the rest mass of the shell is limited from above. Then, several types of behavior of oscillatory charged shells are studied. In the presence of a horizon, it is shown that an oscillatory shell always enters the horizon and reemerges in a new asymptotically flat region of the extended Reissner–Nordström space–time. On the other hand, for an overcharged interior, i.e. a shell with no horizons, an example showing that the shell can achieve a stable equilibrium position is presented. The results presented have applications in brane scenarios with extra large dimensions, where the creation of tiny higher-dimensional charged black holes in current particle accelerators might be a real possibility, and generalize to higher dimensions previous calculations on the dynamics of charged shells in four dimensions.

Download Full-text