Null geodesics and repulsive behavior of gravity in $(2+1)$D massive gravity

Nakashi, Keisuke; Kobayashi, Shinpei; S.Ueda,; Saida, Hiromi

doi:10.1093/ptep/ptz062

Cited by 13 publications

(9 citation statements)

References 29 publications

(48 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…An interesting phenomenon in the b > 0 case was analyzed in [12], namely that due to the hair parameter a repulsive behavior of the black hole on null geodesics was observed. This also appears in our analysis, although in a subtle form.…”

Section: Discussionmentioning

confidence: 99%

“…In the null case the equations of motion can be integrated analytically, which has been done in [12].…”

Section: Circular Geodesicsmentioning

confidence: 99%

“…Geodesics in solutions to NMG have been studied profusely, as they provide important information on the properties of the spacetimes. Such studies have been carried out for example for the BTZ black hole [8], for Lifschitz black holes [9], and from the perspective of deviation angles of null geodesics in the same spacetime as this paper focus on [12]. We are also interested in looking for relations between circular geodesics and isoperimetric surfaces, which were studied in [2], although the results are discouraging.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Circular Geodesics Stability in a Static Black Hole in New Massive Gravity

2020

View full text Add to dashboard Cite

We study the existence and stability of circular geodesics in a family of asymptotically AdS static black holes in New Massive Gravity. We show that the existence of such geodesics is determined by the sign of the hair parameter. For a positive hair parameter the stability regions follow the usual pattern, with an innermost unstable null geodesic separated from the horizon, followed by a region of unstable timelike geodesics and then stable timelike geodesics extending in the asymptotic region. * acena.andres@conicet.gov.ar

show abstract

Section: Discussionmentioning

confidence: 99%

“…In the null case the equations of motion can be integrated analytically, which has been done in [12].…”

Section: Circular Geodesicsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Circular Geodesics Stability in a Static Black Hole in New Massive Gravity

2020

View full text Add to dashboard Cite

show abstract

“…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

View full text Add to dashboard Cite

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.

show abstract

“…Studying the geodesic equations have been extended to F(R) gravity and conformal gravity in BTZ and GMGHS (Gibbons-Maeda-Garfinkle-Horowitz-Strominger) black holes [107][108][109][110][111], regular and modified Hayward black holes [112,113], charged dilatonic black holes [114], the singly spinning and (charged) doubly spinning black ring [115,116], brane-world black hole [117], (rotating) black string [118], Schwarzschild, and Kerr pierced by black string spacetimes [119,120]. Moreover, regarding three dimensional spacetime, the stability and existence of circular geodesics in a family of asymptotically AdS black holes in new massive gravity theory [121] and the null geodesics in a static circularly symmetric black hole spacetime [122] have been investigated before. Furthermore, in Ref.…”

Section: Introductionmentioning

confidence: 99%

Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

et al. 2020

View full text Add to dashboard Cite

In order to classify and understand structure of the spacetime, investigation of the geodesic motions of massive and massless particles is a key tool. So the geodesic equation is a central equation of gravitating systems and the subject of geodesics in the black hole dictionary attracted much attention. In this paper, we give a full description of geodesic motions in three-dimensional spacetime. We investigate the geodesics near charged BTZ black holes and then generalize our prescriptions to the case of massive gravity. We show that electric charge is a critical parameter for categorizing the geodesic motions of both lightlike and timelike particles. In addition, we classify the type of geodesics based on the particle properties and geometry of spacetime.

show abstract

Null geodesics and repulsive behavior of gravity in $(2+1)$D massive gravity

Cited by 13 publications

References 29 publications

Circular Geodesics Stability in a Static Black Hole in New Massive Gravity

Circular Geodesics Stability in a Static Black Hole in New Massive Gravity

A potential way to unify classical and quantum mechanics

Simulation of geodesic trajectory of charged BTZ black holes in massive gravity

Contact Info

Product

Resources

About