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Register a new userQuantum tunneling radiation from self-dual black holes
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Added by
Carlos Alex Souza da Silva M.Sc
Publication date
2012
fields
Physics
and research's language is
English
Authors
C. A. S. Silva
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We calculate the Hawking temperature for a self-dual black hole in the context of quantum tunneling formalism.
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The paper has been prepared for the JETP issue, dedicated to the 95th anniversary of the birth of E.I. Rashba. E. Rashba stood at the origins of macroscopic quantum tunneling together with his colleagues from the Landau Institute S.V. Iordansky and A.M. Finkelshtein. They pave the way for studying macroscopic quantum tunneling in various systems. In this paper, this approach is extended to cosmological objects such as a black hole and de Sitter Universe.
The question of whether collider produced of subnuclear black holes might constitute a catastrophic risk is explored in a model of Casadio & Harms (2002) that treats them as quantum-mechanical objects. A plausible scenario in which these black holes accrete ambient matter at the Eddington limit shortly after their production, thereby emitting Hawking radiation that would be harmful to Earth and/or CERN and its surroundings, is described. Such black holes are shown to remain undetectable in existing astrophysical observations and thus evade a recent exclusion of risks from subnuclear black holes by Giddings & Mangano (2008) and and a similar one by Koch et al. (2009). I further question that these risk analyses are complete for the reason that they exclude plausible black-hole parameter ranges from safety consideration without giving any reason. Some feasible operational measures at colliders are proposed that would allow the lowering of any remaining risk probability. Giddings & Mangano drew different general conclusions only because they made different initial assumptions about the properties of microscopic black holes, not because any of their technical conclusions are incorrect. A critical comment by Giddings & Mangano (2008) on the present paper and a preprint by Casadio et al.(2009) - that presents a treatment of the present issue with methods and assumptions similar to mine - are addressed in appendices.
A quantum equation of gravity is proposed using the geometrical quantization of general relativity. The quantum equation for a black hole is solved using the Wentzel-Kramers-Brillouin (WKB) method. Quantum effects of a Schwarzschild black hole are demonstrated by solving the quantum equation while requiring a stationary phase and also by using the Einstein-Brillouin-Keller (EBK) quantization condition, and two approaches shows a consistent result. The WKB method is also applied to the McVittie-Thakurta metric, which describes a system consisting of Schwarzschild black holes and a scalar field. A possible interplay between quantum black holes and a scalar field is investigated in detail. The number density of black holes in the universe is obtained by applying statistical mechanics to a system consisting of black holes and a scalar field. A possible solution to the cosmological constant problem is proposed from a statistical perspective.
This paper has been withdrawn by the authors. Quantum radiative characteristics of 4D semi-classical nonstationary black holes in the general case are investigated by using the method of generalized tortoise coordinate transformation. It is generally shown that the temperature and the shape of the event horizon of this kind of black holes depend on both the time and different angles. Further, we discover that there is a certain relationship that is ignored before between thermal radiation and non-thermal radiation of black holes, which is that the chemical potential in thermal radiation spectrum is equal to the highest energy of the negative energy state of particles in non-thermal radiation for 4D semi-classical nonstationary black holes. Also, we show that the deduced general results can be applied to different concrete conditions.
Photon charge has been of interest as a phenomenological testing ground for basic assumptions in fundamental physics. There have been several constraints on the photon charge based on very different considerations. In this paper we put further limits based on the well known properties of charged black holes and their subsequent evaporation by Hawking radiation and the assumption of charge conservation over this long physical process.
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