Equatorial circular orbits in Kerr–anti-de Sitter spacetimes

Slaný, Petr; Pokorná, Miroslava; Stuchlík, Zdeněk

doi:10.1007/s10714-013-1606-x

Cited by 14 publications

(12 citation statements)

References 62 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…The static radius is relevant 1 − r 3 ≥ e 2 /r. (30) For zero electric charge e = 0 equations (26), (27) reduce correctly to those in Kerr-anti de Sitter (KadS) spacetimes [48]. For zero electric charge and zero cosmological constant ( = e = 0) equations (26), (27) reduce correctly to the corresponding ones in Kerr spacetime [84].…”

Section: Equatorial Circular Orbits In Kerr-newman Spacetime With a Cmentioning

confidence: 96%

“…We further comment on the different gravitational frequency shifts of photons included in (47) and (48). In Eq.…”

Section: The Redshift/blueshift Of Photons For Circular and Equatoriamentioning

confidence: 99%

“…Most of previous studies of the black hole backgrounds with > 0 were mainly concentrated on uncharged Schwarzschild-de Sitter and Kerr-de Sitter spacetimes [5,26,27,29,[46][47][48][49]. Particle motion and shadow of rotating spacetimes have been studied for the Kerr case in [50] for the braneworld Kerr-Newman case with a tidal charge in [51,52], and for the Kerr-de Sitter case in [53].…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Gravitational redshift/blueshift of light emitted by geodesic test particles, frame-dragging and pericentre-shift effects, in the Kerr–Newman–de Sitter and Kerr–Newman black hole geometries

Kraniotis

2021

Eur. Phys. J. C

View full text Add to dashboard Cite

We investigate the redshift and blueshift of light emitted by timelike geodesic particles in orbits around a Kerr–Newman–(anti) de Sitter (KN(a)dS) black hole. Specifically we compute the redshift and blueshift of photons that are emitted by geodesic massive particles and travel along null geodesics towards a distant observer-located at a finite distance from the KN(a)dS black hole. For this purpose we use the killing-vector formalism and the associated first integrals-constants of motion. We consider in detail stable timelike equatorial circular orbits of stars and express their corresponding redshift/blueshift in terms of the metric physical black hole parameters (angular momentum per unit mass, mass, electric charge and the cosmological constant) and the orbital radii of both the emitter star and the distant observer. These radii are linked through the constants of motion along the null geodesics followed by the photons since their emission until their detection and as a result we get closed form analytic expressions for the orbital radius of the observer in terms of the emitter radius, and the black hole parameters. In addition, we compute exact analytic expressions for the frame dragging of timelike spherical orbits in the KN(a)dS spacetime in terms of multivariable generalised hypergeometric functions of Lauricella and Appell. We apply our exact solutions of timelike non-spherical polar KN geodesics for the computation of frame-dragging, pericentre-shift, orbital period for the orbits of S2 and S14 stars within the $$1^{\prime \prime }$$ 1 ″ of SgrA*. We solve the conditions for timelike spherical orbits in KN(a)dS and KN spacetimes. We present new, elegant compact forms for the parameters of these orbits. Last but not least we derive a very elegant and novel exact formula for the periapsis advance for a test particle in a non-spherical polar orbit in KNdS black hole spacetime in terms of Jacobi’s elliptic function sn and Lauricella’s hypergeometric function $$F_D$$ F D .

show abstract

Section: Equatorial Circular Orbits In Kerr-newman Spacetime With a Cmentioning

confidence: 96%

“…We further comment on the different gravitational frequency shifts of photons included in (47) and (48). In Eq.…”

Section: The Redshift/blueshift Of Photons For Circular and Equatoriamentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Gravitational redshift/blueshift of light emitted by geodesic test particles, frame-dragging and pericentre-shift effects, in the Kerr–Newman–de Sitter and Kerr–Newman black hole geometries

Kraniotis

2021

Eur. Phys. J. C

View full text Add to dashboard Cite

show abstract

“…The inclusion of a repulsive cosmological constant into a spacetime changes significantly its asymptotic structure, as a black hole, naked singularity, or any compact body becomes asymptotically de Sitter i.e., not flat [36][37][38][39][40][41].…”

Section: Introductionmentioning

confidence: 99%

Motion of spinning particles in non asymptotically flat spacetimes

et al. 2020

View full text Add to dashboard Cite

The assumption of asymptotic flatness for isolated astrophysical bodies may be considered an approximation when one considers a cosmological context where a cosmological constant or vacuum energy is present. In this framework we study the motion of spinning particles in static, spherically symmetric and asymptotically non-flat spacetimes with repulsive cosmological vacuum energy and quintessential field. Due to the combined effects of gravitational attraction and cosmological repulsion, the region where stable circular orbits are allowed is restricted by an innermost and an outermost stable circular orbits. We show that taking into account the spin of test particles may enlarge or shrink the region of allowed stable circular orbits depending on whether the spin is co-rotating or counter-rotating with the angular momentum of the particles.

show abstract

“…This allows us to see whether the aforementioned behavior changes with the introduction of a negative cosmological constant, especially when rotation is involved. The behavior of particle orbits around black holes with nonzero cosmological constants had been studied rather extensively in the literature, see, e.g., [33][34][35][36]. However, our objective here is much more specific and the question raised in the previous paragraph does deserve a more focused and cleaner analysis.…”

mentioning

confidence: 96%

Lux in obscuro II: photon orbits of extremal AdS black holes revisited

Tang

Ong

Wang

2017

Class. Quantum Grav.

View full text Add to dashboard Cite

A large class of spherically symmetric static extremal black hole spacetimes possesses a stable null photon sphere on their horizons. For the extremal Kerr-Newman family, the photon sphere only really coincides with the horizon in the sense clarified by Doran. The condition under which photon orbit is stable on an asymptotically flat extremal Kerr-Newman black hole horizon has recently been clarified; it is found that a sufficiently large angular momentum destabilizes the photon orbit, whereas electrical charge tends to stabilize it. We investigated the effect of a negative cosmological constant on this observation, and found the same behavior in the case of an extremal asymptotically Kerr-Newman-AdS black holes in (3 + 1)-dimensions. In (2 + 1)-dimensions, in the presence of electrical charge, the angular momentum never becomes large enough to destabilize the photon orbit. We comment on the instabilities of black hole spacetimes with a stable photon orbit.

show abstract

Equatorial circular orbits in Kerr–anti-de Sitter spacetimes

Cited by 14 publications

References 62 publications

Gravitational redshift/blueshift of light emitted by geodesic test particles, frame-dragging and pericentre-shift effects, in the Kerr–Newman–de Sitter and Kerr–Newman black hole geometries

Gravitational redshift/blueshift of light emitted by geodesic test particles, frame-dragging and pericentre-shift effects, in the Kerr–Newman–de Sitter and Kerr–Newman black hole geometries

Motion of spinning particles in non asymptotically flat spacetimes

Lux in obscuro II: photon orbits of extremal AdS black holes revisited

Contact Info

Product

Resources

About