Charged spherically symmetric black holes in the Lyra geometry and a preliminary investigation on the overcharging process

Abstract

This paper aims to investigate charged spherically symmetric static black holes in the Lyra geometry, in which a scale function naturally arises in the metric and affine structure of these type of manifolds. In particular, it is utilized the appropriate generalization of General Relativity, the recently proposed Lyra Scalar-Tensor Theory (LyST). The simplest generalization of Maxwell electrodynamics for Lyra manifolds is considered. It is presented an analytic solution for the line element of a Reissner-Nordström LyST generalization. It is shown that, due to the natural presence of a scale radius, it is possible to have three different extremal charges for positive or negative charge intervals. As a consequence, in natural units, the equality of the mass and charge defined on Lyra manifolds does not give rise to an extremal black hole, which allows the existence of solutions in which the charge is greater than the mass. An analysis with charged test particles indicates that a finite positive Lyra scale radius possibly allows for a violation of the weak cosmic censorship on Lyra manifolds, it is shown that an extremal black hole can be overcharged to the point that the emergence of a naked singularity becomes possible. The same behavior is observed for negative values of the Lyra radius if its absolute value is greater than four times the black hole mass. Notably, this investigation also shows that an eternal black hole can exist for any charge increase if the Lyra scale radius is sufficiently close to some critical values.

14 pages, 6 figures

References in corpus (19)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• The NANOGrav 15-year Data Set: Evidence for a Gravitational-Wave Background
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• Search for an isotropic gravitational-wave background with the Parkes Pulsar Timing Array
• Searching for the nano-Hertz stochastic gravitational wave background with the Chinese Pulsar Timing Array Data Release I
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• The second data release from the European Pulsar Timing Array III. Search for gravitational wave signals
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• First M87 Event Horizon Telescope Results. VIII. Magnetic Field Structure near The Event Horizon
• First M87 Event Horizon Telescope Results. VII. Polarization of the Ring
• The NANOGrav 15-year Data Set: Bayesian Limits on Gravitational Waves from Individual Supermassive Black Hole Binaries
• Observational evidence for cosmological coupling of black holes and its implications for an astrophysical source of dark energy
• Exploring the high-redshift PBH-$\Lambda$CDM Universe: early black hole seeding, the first stars and cosmic radiation backgrounds
• The Image of the M87 Black Hole Reconstructed with PRIMO
• Implications of Symmetry and Pressure in Friedmann Cosmology. I. Formalism
• LyST: a Scalar-Tensor Theory of Gravity on Lyra Manifold
• Overcharging process around a magnetized black hole: Can the backreaction effect of magnetic field restore cosmic censorship conjecture?