A theory of thin shells with orbiting constituents

Abstract

The self-gravitating, spherically symmetric thin shells built of orbiting particles are studied. Two new features are found. One is the minimal possible value for an angular momentum of particles, above which elliptic orbits become possible. The second is the coexistence of both the wormhole solutions and the elliptic or hyperbolic orbits for the same values of the parameters (but different initial conditions). Possible applications of these results to astrophysics and quantum black holes are briefly discussed.

Semiclassical S-matrix for black holes

“…At each point on the shell the velocities of the constituent particles are uniformly distributed in the tangential directions, so that the overall configuration is spherically-symmetric 10 . The corresponding shell action is [54] S shell = − m eff dτ ,…”

The theory of spherically symmetric thin shells in conformal gravity

“…In order to be able to compare the results we consider only one type of the spherically symmetric shells, namely, those with traceless surface energy-momentum tensor, immersed into the vacuum. By the way, the traceless spherical shells can be realized as the shells with massless orbiting constituents [58]. In addition, we suppose that such a shell is the innermost one, so there are no other gravitating sources inside it.…”

Классический Аналог Квантовой Черной Дыры Шварцшильда. “Стандартная Модель” И За Ее Пределами

“…Тогда ε = p r + 2p t и, следовательно, p r = 0, ε = 2p t , α = 1/ √ 3 . Такое странное уравнение состояния означает, что мы имеем дело не с конденсированной материей, а скорее с набором тонких оболочек с (исчезающе) малыми энергиями, которые составлены из безмассовых частиц, вращающихся по сферам постоянного радиуса во всех возможных направлениях [21]. Но такое распределение нестабиль-но, поскольку эти орбиты совпадают с последней (неустойчивой) световой орбитой во внешней метрике Шварцшильда.…”