A family of solutions to the inverse problem in gravitation: building a theory around a metric
Sign Up to like & getrecommendations! Published in 2020 at "General Relativity and Gravitation"
DOI: 10.1007/s10714-020-02779-8
Abstract: A method is presented to construct a particular, non-minimally coupled scalar–tensor theory such that a given metric is an exact vacuum solution in that theory. In contrast to the standard approach in studies of gravitational… read more here.
Keywords: gravitation; theory; inverse problem; family solutions ... See more keywords
Generalized Solutions of the Inverse Problem and New Technologies for the Quantitative Interpretation of Gravity Anomalies
Sign Up to like & getrecommendations! Published in 2018 at "Izvestiya, Physics of the Solid Earth"
DOI: 10.1134/s1069351318020027
Abstract: The approach, fundamentally different from the known ones, to estimating the spatial location of the domain filled with the disturbing masses based on the gravity field measurement data is suggested. The main idea of the… read more here.
Keywords: interpretation; inverse problem; generalized solutions; gravity ... See more keywords
Classes of Finite Solutions to the Inverse Problem of the Logarithmic Potential
Sign Up to like & getrecommendations! Published in 2018 at "Lobachevskii Journal of Mathematics"
DOI: 10.1134/s1995080218020026
Abstract: We obtain a new class of solutions to the inverse problems of the logarithmic potential in the form of a logarithmic function of a ratio of polynomials of the same degree. We give examples of… read more here.
Keywords: inverse problem; logarithmic potential; problem logarithmic; finite solutions ... See more keywords