From the 1 of 13 linked papers with an AI index.
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Perturbation theory for gravitational shadows in static spherically symmetric spacetimes
Kirill Kobialko, Dmitri Gal'tsov
We develop a perturbation theory for surfaces confining photons and massive particles in static spherically symmetric spacetimes in terms of two parameters: the mass-to-energy rati…
Petrov types, separability and generalized photon surfaces of supergravity black holes
Dmitri Gal'tsov, Aleksandr Kulitskii
The vacuum and electrovacuum Einstein equations for spacetimes with two commuting Killing vectors can be solved by indirect methods of integrable systems. But if, in addition, the…
Uniqueness of the static vacuum asymptotically flat spacetimes with massive particle spheres
Kirill Kobialko, Igor Bogush, Dmitri Gal'tsov
In this paper, we establish that a four-dimensional static vacuum asymptotically flat spacetime containing a massive particle sphere is isometric to the Schwarzschild spacetime. Ou…
Mass formulas for supergravity black holes with string singularities
Igor Bogush, Dmitri Gal'tsov, Gérard Clément
We extend the derivation of mass formulas for stationary axisymmetric asymptotically locally flat solutions with string singularities on the polar axis to general supergravity acti…
Constructing massive particles surfaces in static spacetimes
Igor Bogush, Kirill Kobialko, Dmitri Gal'tsov
The procedure for constructing the massive particle surfaces in static space-times is described in detail and the equivalence of the main results with the results of the geodesic a…