Quantum thermodynamics in the interior of a Schwarzschild black-hole

نویسندگان

چکیده

We study the interior of a Schwarzschild Black-Hole (B-H) using Relativistic Quantum Geometry described in \cite{rb} and \cite{rb1}. found discrete energy levels for scalar field from polynomial condition Heun Confluent functions expanded around radius. From solutions it is obtained that uncertainty principle valid each level space-time, form: $E_n\, r_{sh,n}=\hbar/2$. Temperature, entropy B-H mass are dependent on number states B-H, such Bekenstein-Hawking (BH) results limit case.

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Hamiltonian thermodynamics of the Schwarzschild black hole.

Kuchař has recently given a detailed analysis of the classical and quantum geometrodynamics of the Kruskal extension of the Schwarzschild black hole. In this paper we adapt Kuchař’s analysis to the exterior region of a Schwarzschild black hole with a timelike boundary. The reduced Lorentzian Hamiltonian is shown to contain two independent terms, one from the timelike boundary and the other from...

متن کامل

On the Quantum-Corrected Black Hole Thermodynamics

Bekenstein-Hawking Black hole thermodynamics should be corrected to incorporate quantum gravitational effects. Generalized Uncertainty Principle(GUP) provides a perturbational framework to perform such modifications. In this paper we consider the most general form of GUP to find black holes thermodynamics in microcanonical ensemble. Our calculation shows that there is no logarithmic pre-factor ...

متن کامل

Quantum Thermodynamics of Black Hole Horizons

Exploiting results recently proved in a technical paper (and some of them are reviewed herein in the language of theoretical physicists) we focus on quantization of the metric of a black hole restricted to the Killing horizon with universal radius r0. The metric is represented in a suitable manner after imposing spherical symmetry and, after restriction to the Killing horizon, it is quantized e...

متن کامل

On Quantum Statistical Mechanics of a Schwarzschild Black Hole

Quantum theory of geometry, developed recently in the framework of nonperturbative quantum gravity, is used in an attempt to explain thermodynamics of Schwarzschild black holes on the basis of a microscopical (quantum) description of the system. We work with the formulation of thermodynamics in which the black hole is enclosed by a spherical surface B and a macroscopic state of the system is sp...

متن کامل

Black hole interior from loop quantum gravity

In this paper we calculate modifications to the Schwarzschild solution by using a semiclassical analysis of loop quantum black hole. We obtain a metric inside the event horizon that coincides with the Schwarzschild solution near the horizon but that is substantially different at the Planck scale. In particular we obtain a bounce of the S sphere for a minimum value of the radius and that it is p...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Physica Scripta

سال: 2021

ISSN: ['1402-4896', '0031-8949']

DOI: https://doi.org/10.1088/1402-4896/abd203