Particle motions and gravitational lensing in de Rham-Gabadadze-Tolley massive gravity theory

A number of near-extremal conditions are utilized to simplify the equation of motion of the neutral scalar perturbations in generalized spherically symmetric black hole background into a differential equation with the Pöschl–Teller potential. An analytic formula for quasinormal frequencies is obtained. The analytic formula is then used to investigate strong cosmic censorship conjectures (SCC) of the generalized black hole spacetime for the smooth initial data. The Christodoulou version of the SCC is found to be violated for certain regions of the black hole parameter space including the black holes in general relativity while the $$C^{1}$$ C 1 version of the SCC is always valid.

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“…Many studies have been performed to investigate the deviation e.g. quasinormal modes [36], greybody factor [37] and gravitational lensing [38].…”

Section: Introductionmentioning

confidence: 99%

Quasi-normal modes of near-extremal black holes in generalized spherically symmetric spacetime and strong cosmic censorship conjecture

2020

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“…It is worth mentioning that gravitational lensing and particle motions around non-asymptotically flat black hole spacetime in dRGT massive gravity have been addressed in Ref. [63].…”

Section: Discussionmentioning

confidence: 99%

Thin-shell wormholes in de Rham–Gabadadze–Tolley massive gravity

et al. 2020

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In this work, we study the thin-shell wormholes in dRGT massive gravity. In order to glue two bulks of the spacetime geometry, we first derive junction conditions of the dRGT spacetime. We obtain the dynamics of the spherical thin-shell wormholes in the dRGT theory. We show that the massive graviton correction term of the dRGT theory in the Einstein equation is represented in terms of the effective anisotropic pressure fluid. However, if there is only this correction term, without invoking exotic fluids, we find that the thin-shell wormholes cannot be stabilized. We then examine the stability conditions of the wormholes by introducing four existing models of the exotic fluids at the throat. In addition, we analyze the energy conditions for the thin-shell wormholes in the dRGT massive gravity by checking the null, weak, and strong conditions at the wormhole throat. We show that in general the classical energy conditions are violated by introducing all existing models of the exotic fluids. Moreover, we quantify the wormhole geometry by using the embedding diagrams to represent a thin-shell wormhole in the dRGT massive gravity.

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“…4) It acts, through an entanglement bond, between the real protons orbiting in proton star, on the one hand, and the electrons that most likely revolve in the innermost band of the space surrounding the proton star, in which case it is attractive-repulsive at same time. After all in some recent researches, in particular see references [9] and [10], it has been shown that the possible trajectories of photons and of particles inside and around the black hole are compatible with a repulsive behavior of gravity. In the reference [11], then, a repulsive gravity was shown within the black hole even in the Stueckelberg Quantum formalism;…”

Section:  513 -The Reason Of Non-decreasing Velocity Of Stars and Of Electronsmentioning

confidence: 99%

A potential way to unify classical and quantum mechanics

Napolitano¹

2020

Preprint

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In the present work, by moving from the assumption that the Sun (and all the massive bodies) produces, starting from a certain distance from it, attractive and repulsive gravitational forces at the same time, giving life to the movement of the planets around the Sun according to the same principle of pendulum, I managed to derive a perihelion precession formula, a black hole radius formula and, above all, a formula of the atomic nuclear radius, which was missing until now, all in excellent agreement with the observation and in a completely independent way of the Einstein’s theory of relativity.I have also shown that the nuclear radius formula can also be successfully used to predict the radius of neutron stars.Moreover I have found — always through the same principles that allowed me to achieve the above results, in particular through the modification of the Newtonian gravitational potential, in turn due to the different modus-operandi of gravity force — a formula of the non-decreasing orbital velocity of galactic stars, without considering dark matter.Then I have demonstrated the black hole is composed only of protons, and that it’s similar to the nucleus of the atom and, analogously, the galaxy is similar to the atom, since the stars moving around the central nucleus in the same way as the electrons move around the atomic nucleus. I have also found another similitude among atomic nucleus, black hole and neutron stars, namely the self-orbiting phenomenon existing in all the cases.From the mathematical findings obtained in the present work it has also emerged the existence, both at the microscopic and the macroscopic level, of the gravito-electric force (or, if one prefers, electro-gravitational force), resulting from the fusion of the gravitational force with the electrostatic one, working exactly in accordance with Newtonian mechanics, although modified by the introduction of a repulsive force in addition and in opposition to the attractive one, that makes us understand the universe works always in the same way, both in macro and in micro. Furthermore, by means of the theory here proposed, it has been possible to find a theoretical foundation to the Planck constant, to derive the photon mass, to derive the electron orbital radius, inner and outer, as well as to prove the existence of the gravito-electric radiations.It is also emerged the existence of the universal principle of specific asymmetry between gravitational potential energy and kinetic energy, as a cause of nuclear energy E = mc^2.In this perspective, the present work can represent a potential unifying way between the macrocosm and microcosm mechanics.

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Particle motions and gravitational lensing in de Rham-Gabadadze-Tolley massive gravity theory

Cited by 27 publications

References 61 publications

Quasi-normal modes of near-extremal black holes in generalized spherically symmetric spacetime and strong cosmic censorship conjecture

Quasi-normal modes of near-extremal black holes in generalized spherically symmetric spacetime and strong cosmic censorship conjecture

Thin-shell wormholes in de Rham–Gabadadze–Tolley massive gravity

A potential way to unify classical and quantum mechanics

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