Арбузова Е.В., Долгов А.Д. «Эффекты неустойчивости в F(R)-модифицированной гравитации и при гравитационном бариогенезисе» Физика элементарных частиц и атомного ядра, 50, № 6, с. 1116-1293 (2019)

Обзор посвящен развитию и последующему применению методов исследования устойчивости решений дифференциальных уравнений высших порядков, возникающих в различных моделях модифицированной гравитации и бариосинтеза. Основное внимание уделяется F(R)-модифицированным теориям, предложенным для описания ускоренного расширения Вселенной, а также генерации барионной асимметрии в рамках спонтанного и гравитационного бариогенезиса.

Физиев П.П. «Эра гравитационной астрономии и гравитационное поле невращающейся точечной частицы в общей теории относительности» Физика элементарных частиц и атомного ядра, 50, № 6, с. 1294-1295 (2019)

Utilizing various gauges of the radial coordinate, we give a General Relativistic (GR) description of spherically symmetric static spacetimes with a massive point source and vacuum outside this singularity. We show that in GR there exist a two-parameter family of such solutions to the Einstein equations which are physically distinguishable and describe gravitational field of a single massive point particle with positive bare mass M₀>0 and positive Keplerian mass M₀. In particular, we show that the widespread Hilbert's form of the Schwarzschild solution, which depends only on the Keplerian mass M and describes Black Holes (BH), does not solve the Einstein equations with a massive point particle's stress-energy tensor. Novel normal coordinates for the field and a new physical class of gauges are proposed, thus achieving a correct description of a point mass source in GR. We also introduce a gravitational mass defect of a point particle and determine the dependence of the solutions on mass defect. The result can be described as a change of the Newton potential Φ_G=–G_NM/r to a modified one Φ_G=–G_NM(/r+G_NM/c²ln(M₀/M) and a corresponding modification of the four-interval. We show that the proper 3D flat space, where these two potentials can be compared, is the tangent space above the position of the massive point source. In addition, we give invariant characteristics of the physically and geometrically different classes of spherically symmetric static spacetimes created by a point mass. Our results are important for description of Extremely Compact Objects (ECOs) studied in relation to possible echoes in recently discovered by LIGO/VIRGO collaboration Gravitational Waves (GW).