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A brief reference to the two Schwarzschild solutions and what Petrov had to say about them is given. Comments on how the Schwarzschild vacuum solution describes a black hole are also provided. Then we compare the properties, differences and…

General Relativity and Quantum Cosmology · Physics 2012-11-09 José P. S. Lemos

A quasi-black hole, either non-extremal or extremal, can be broadly defined as the limiting configuration of a body when its boundary approaches the body's quasihorizon. We consider the mass contributions and the mass formula for a static…

General Relativity and Quantum Cosmology · Physics 2008-12-30 José P. S. Lemos , Oleg B. Zaslavskii

We trace the origin of the black hole entropy S replacing a black hole by a quasiblack hole. Let the boundary of a static body approach its own gravitational radius, in such a way that a quasihorizon forms. We show that if the body is…

General Relativity and Quantum Cosmology · Physics 2010-04-06 José P. S. Lemos , Oleg B. Zaslavskii

Objects that are on the verge of being extremal black holes but actually are distinct in many ways are called quasi-black holes. Quasi-black holes are defined here and treated in a unified way through the displaying of their properties. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 José P. S. Lemos , Oleg B. Zaslavskii

Objects that are on the threshold of forming the horizon but never collapse are called quasi-black holes (QBHs). We discuss the properties of the general spherically symmetric QBH metric without addressing its material source, including its…

General Relativity and Quantum Cosmology · Physics 2015-09-07 K. A. Bronnikov , O. B. Zaslavskii

A Buchdahl star is a highly compact star for which the boundary radius $R$ obeys $R=\frac98 r_+$, where $r_+$ is the gravitational radius of the star itself. A quasiblack hole is a maximum compact star, or more generically a maximum compact…

General Relativity and Quantum Cosmology · Physics 2020-09-17 José P. S. Lemos , Oleg B. Zaslavskii

In general relativity coupled to Maxwell's electromagnetism and charged matter, when the gravitational potential $W^2$ and the electric potential field $\phi$ obey a relation of the form $W^{2}= a\left(-\epsilon\, \phi+ b\right)^2 +c$,…

General Relativity and Quantum Cosmology · Physics 2015-03-14 José P. S. Lemos , Vilson T. Zanchin

The entropy of extremal black holes (BHs) is obtained using a continuity argument from extremal quasiblack holes (QBHs). It is shown that there exists a smooth limiting transition in which (i) the system boundary approaches the extremal…

General Relativity and Quantum Cosmology · Physics 2011-05-25 José P. S. Lemos , Oleg B. Zaslavskii

If a black hole (BH) is initially in an approximately pure state and it evaporates by a unitary process, then the emitted radiation will be in a highly quantum state. As the purifier of this radiation, the state of the BH interior must also…

High Energy Physics - Theory · Physics 2015-09-30 Ram Brustein , A. J. M. Medved

We consider the quasi-black hole limit of a stationary body when its boundary approaches its own gravitational radius, i.e., its quasi-horizon. It is shown that there exists a perfect correspondence between the different mass contributions…

General Relativity and Quantum Cosmology · Physics 2009-09-02 José P. S. Lemos , Oleg B. Zaslavskii

We consider the quasinormal modes for a class of black hole spacetimes that, informally speaking, contain a closely ``squeezed'' pair of horizons. (This scenario, where the relevant observer is presumed to be ``trapped'' between the…

General Relativity and Quantum Cosmology · Physics 2009-11-10 A. J. M. Medved , Damien Martin , Matt Visser

Nonextreme black hole in a cavity can achieve the extreme state with a zero surface gravity at a finite temperature on a boundary, the proper distance between the boundary and the horizon being finite. The classical geometry in this state…

General Relativity and Quantum Cosmology · Physics 2014-11-17 O. B. Zaslavskii

We derive and critically examine the consequences that follow from the formation of a regular black or white hole horizon in finite time of a distant observer. In spherical symmetry, only two distinct classes of solutions to the…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Sebastian Murk , Daniel R. Terno

We consider spherically-symmetric black holes in semiclassical gravity. For a collapsing radiating thin shell we derive a sufficient condition on the exterior geometry that ensures that a black hole is not formed. This is also a sufficient…

General Relativity and Quantum Cosmology · Physics 2019-06-04 Valentina Baccetti , Robert B. Mann , Daniel R. Terno

Black hole quasinormal frequencies are complex numbers that encode information on how a black hole relaxes after it has been perturbed and depend on the features of the geometry and on the type of perturbations. On the one hand, the…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Antonino Flachi , José P. S. Lemos

Black holes are among the most well-known astrophysical objects, yet their physical realisation remains conceptually subtle. We analyse physical black holes -- light-trapping regions that form in finite time as seen by a distant observer --…

General Relativity and Quantum Cosmology · Physics 2025-12-02 Ioannis Soranidis , Daniel R. Terno

The formation and semi-classical evaporation of two-dimensional black holes is studied in an exactly solvable model. Above a certain threshold energy flux, collapsing matter forms a singularity inside an apparent horizon. As the black hole…

High Energy Physics - Theory · Physics 2009-10-07 J. Russo , L. Susskind , L. Thorlacius

For distant observers black holes are trapped spacetime domains bounded by apparent horizons. We review properties of the near-horizon geometry emphasizing the consequences of two common implicit assumptions of semiclassical physics. The…

General Relativity and Quantum Cosmology · Physics 2022-09-16 Robert B. Mann , Sebastian Murk , Daniel R. Terno

If two particles collide near the black hole horizon, the energy in the centre of mass (CM) frame can grow indefinitely (the so-called the BSW effect). This requires fine-tuning the parameters (the energy, angular momentum or electric…

General Relativity and Quantum Cosmology · Physics 2015-06-11 O. B. Zaslavskii

We consider a class of black holes for which the area of the two-dimensional spatial cross-section has a minimum on the horizon with respect to a quasiglobal (Krusckal-like) coordinate. If the horizon is regular, one can generate a tubelike…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Oleg B. Zaslavskii
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