Sources for the Reissner-Nordström metric

New, physically motivated static sources for the Reissner-Nordström metric are found. One is a generalization of the Schwarzschild interior solution representing a sphere of constant nongravitational energy density. The other is a family of solutions for which the mass is electromagnetic in origin. Some general results are found. For a charged fluid sphere in equilibrium with pressure,m ² >q ². For a charged body with equation of state = (p), where (0)=0, the body is under tension at every point when the charge density has the same sign throughout.Supported by the National Research Council of Canada, Grant No. A5340.     

Entropy Quantization of Reissner-Nordström Black Hole

International Journal of Theoretical Physics - The Hawking temperature and Entropy of Reissner-Nordström (RN) black hole can be derived from energy quantization of the test particle moving...     

Evaporation of near-extremal Reissner-Nordström black holes

The formation of near-extremal Reissner-Nordstr?m black holes in the S-wave approximation can be described, near the event horizon, by an effective solvable model. The corresponding one-loop quantum theory remains solvable and allows one to follow analytically the evaporation process, which is shown to require an infinite amount of time.     

Entropy of an Extreme Reissner-Nordström Black Hole

The definition of entropy consistent with the Nernst theorem of ordinary thermodynamics contradicts the area theorem, which means the breakdown of weak energy condition in an adiabatic process. Such has never occurred in the ordinary thermodynamics. It implies that the extreme black hole is not so alike as the ordinary system and it cannot be treated as the limit of the non-extreme case. In consideration of the Bose-Einstein condensation of the scalar field, the quantum entropy of an extreme RNBH is proportional to the logarithm of the horizon area plus the logarithmic divergence of is a cutoff near the horizon. It is satisfying that the thermodynamic limit of the quantum entropy approaches zero even if 0.     

Generating Interior Sources for the Reissner-Nordström Metric

We study the Einstein-Maxwell equations for isotropic pressure distributions. We postulate a relationship between the electric field intensity and one of the gravitational potentials. An algorithm is developed that allows us to systematically generate new classes of exact solutions for charged relativistic stars. The solutions are expressed in terms of simple elementary functions; it is possible to parametrize the solutions so that different values of a constant allows us to tabulate the models. For a particular class it is possible to generate models without any integration. We study the qualitative features of a particular solution, and show that it is physically reasonable in the region of a spherical shell surrounding the centre.     

Letter: Embedding Diagrams for the Reissner-Nordström Spacetime

We consider embedding diagrams for the Reissner-Nordström spacetime. We embed the r–t and r– 2-surfaces into (2+1)/3-Euclidean space and discuss the relation between the diagrams and the corresponding curvature scalar of the 2-metrics.     

Isotropic Reissner-Nordström Geometry and the Corresponding Gravitational Redshift

In this letter, we first consider the famous non-vacuum solution of general relativity for a static spherically symmetric charged object, i.e. the Reissner-Nordström solution. Afterwards, by adopting an isotropic coordinate system, we derive the equivalent form of this solution in the so-called geometry. Then we discuss the gravitational redshift in the consequent spacetime.     

On the electrostatic self-force in a Reissner-Nordström spacetime

It is shown that in a Reissner-Nordström spacetime no observable violation of the strong equivalence principle occurs in the validity domain of classical electrodynamics, because of the electrostatic self-force.     

Scattering of Dirac Waves off Reissner-Nordström Black Holes

Dirac equation in Kerr geometry was separated by Chandrasekhar in 1976. In the present paper, the radial parts of Dirac equation in Reissner-Nordström (RN) geometry are solved. We concentrate on two cases. The first one is that the energies of the waves are greater than the height of the potential barrier and the second one is that the waves hit on the potential barrier. In each case, the reflection and transmission coefficients and the wave function are computed. We compare the solutions with several parameters to show how the properties of the scattered wave depend on these parameters.     

Area Spectra of d-Dimensional Extreme Reissner-Nordström Black Holes

With the physical interpretation of quasinormal modes proposed by Maggiore, we investigate the quantum area and entropy spectra of d-dimensional extreme Reissner-Nordström black holes. Employing two methods, the method of Maggiore and the action variable quantization, we arrive at the spectra consistent with each other. Results show that the spectra are irrelevant to the black hole parameters and the perturbation field parameters but relative to the spacetime dimension. For a given dimension, the spectra are equally spaced.     

Reissner–Nordström thin-shell wormholes with generalized cosmic Chaplygin gas

Following Visser’s approach (Visser in Phys. Rev. D 39:3182, 1989; Nucl. Phys. B 328:203, 1989; Lorentzian wormholes. AIP Press, New York, 1996) of cut and paste, we construct Reissner–Nordström thin-shell wormholes by taking the generalized cosmic Chaplygin gas for the exotic matter located at the wormhole throat. The Darmois–Israel conditions are used to determine the dynamical quantities of the system. The viability of the thin-shell wormholes is explored with respect to radial perturbations preserving the spherical symmetry. We find stable as well as unstable Reissner–Nordström thin-shell wormhole solutions depending upon the model parameters. Finally, we compare our results with both generalized and modified Chaplygin gases.