scholarly journals Comments on Penrose inequality with angular momentum for outermost apparent horizons

2020 ◽  
Vol 37 (6) ◽  
pp. 065023
Author(s):  
Pablo Anglada
2011 ◽  
Vol 312-315 ◽  
pp. 27-32
Author(s):  
R. Leticia Corral Bustamante ◽  
Aarón Raúl Rodríguez-Corral ◽  
T.J Amador-Parra ◽  
E.A. Vázquez-Tapia

Cosmic censorship!: black hole wrapped up by its entropy and hidden by its event horizon. In this paper, we postulate a metric to solve the Einstein equations of general relativity, which predicts the thermodynamic behavior of a gigantic mass that collapses to a black hole; taking into account the third law of thermodynamics that states that neither physical process can produce a naked singularity. However, under certain conditions, the model allows to evident violation to the cosmic censorship, exposing the hole nakedness. During the collapse of the hole, quantum effects appear: the area decrease and radiation produced has a high entropy, so that increases total entropy and expose the presence of the hole, while the appearance of the event horizon hide the singularity of the exterior gazes. It is verified that in certain circumstances, the model predicts that the hole mass is bigger than its angular momentum; and in all circumstances, this predicts an hole with enormous superficial graveness that satisfy a relationship of the three parameters that describe the hole (mass, charge and angular momentum); factors all indicative that the singularity is not naked. Then, there are no apparent horizons in accord with cosmic censorship conjecture. Even though the surface gravity of the hole prevents destroying its horizon wrapping singularity, there exists evidence of this singularity by the results of the spin-mass relationship and the escape velocity obtained. The lost information and the slow rate of rotation of the semi-major axis of the mass (dragging space and time around itself as it rotates), agree with Einstein's prediction, show the transport of energy through heat and mass transfer, which were measured by entropy of the hole by means of coordinated semi-spherical that include the different types of intrinsic energy to the process of radiation of the hole event horizon.


2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Wojciech Kulczycki ◽  
Edward Malec

2004 ◽  
Vol 21 (24) ◽  
pp. 5777-5787 ◽  
Author(s):  
Edward Malec ◽  
Niall Ó Murchadha

2019 ◽  
Vol 30 (13) ◽  
pp. 1940006
Author(s):  
Pengzi Miao ◽  
Naqing Xie

We construct asymptotically flat, scalar flat extensions of Bartnik data [Formula: see text], where [Formula: see text] is a metric of positive Gauss curvature on a two-sphere [Formula: see text], and [Formula: see text] is a function that is either positive or identically zero on [Formula: see text], such that the mass of the extension can be made arbitrarily close to the half area radius of [Formula: see text]. In the case of [Formula: see text], the result gives an analog of a theorem of Mantoulidis and Schoen [On the Bartnik mass of apparent horizons, Class. Quantum Grav. 32(20) (2015) 205002, 16 pp.], but with extensions that have vanishing scalar curvature. In the context of initial data sets in general relativity, the result produces asymptotically flat, time-symmetric, vacuum initial data with an apparent horizon [Formula: see text], for any metric [Formula: see text] with positive Gauss curvature, such that the mass of the initial data is arbitrarily close to the optimal value in the Riemannian Penrose inequality. The method we use is the Shi–Tam type metric construction from [Positive mass theorem and the boundary behaviors of compact manifolds with nonnegative scalar curvature, J. Differential Geom. 62(1) (2002) 79–125] and a refined Shi–Tam monotonicity, found by the first named author in [On a localized Riemannian Penrose inequality, Commun. Math. Phys. 292(1) (2009) 271–284].


1995 ◽  
Vol 48 (6) ◽  
pp. 1027 ◽  
Author(s):  
Peter Anninos ◽  
David Bemstein ◽  
Steve Brandt ◽  
David Hobill ◽  
Ed Seidel ◽  
...  

We investigate the evolution of the apparent horizon in three families of numerically generated spacetimes: the 'black hole plus Brill wave' spacetimes of Bernstein et al., the non-time symmetric generalisation of this by Brandt, and the Misner two black hole spacetime. Various measures of the curvature and shape of the horizon are shown as a function of coordinate time at infinity and it is found that the horizon oscillates at the lowest quasinormal mode frequency of the hole. In addition, in the spacetimes with angular momentum the total angular momentum of the final hole can be read off from the oscillations of the horizon directly without having to extract it from the gravitational radiation emitted by the hole.


Author(s):  
D. Singh ◽  
◽  
S. Bharti Linda ◽  
Pankaj Kumar Giri ◽  
H. Kumar ◽  
...  

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