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33 papers
Results of existence and uniqueness for the Cauchy problem of semilinear heat equations on stratified Lie groups
Hiroyuki Hirayama, Yasuyuki Oka
The aim of this paper is to give existence and uniqueness results for solutions of the Cauchy problem for semilinear heat equations on stratified Lie groups with the h…
General formulae for the periapsis shift of a quasi-circular orbit in static spherically symmetric spacetimes and the active gravitational mass density
Tomohiro Harada, Takahisa Igata, Hiromi Saida +1
We study the periapsis shift of a quasi-circular orbit in general static spherically symmetric spacetimes. We derive two formulae in full order with respect to the gravitational fi…
Periapsis shifts in dark matter distribution around a black hole
Takahisa Igata, Tomohiro Harada, Hiromi Saida +1
We consider the periapsis shifts of bound orbits of stars on static clouds around a black hole. The background spacetime is constructed from a Schwarzschild black hole surrounded b…
Lemniscate of Leaf Function
Kazunori Shinohara
A lemniscate is a curve defined by two foci, F1 and F2. If the distance between the focal points of F1 - F2 is 2a (a: constant), then any point P on the lemniscate curve satisfy th…
Search for a Variation of the Fine Structure around the Supermassive Black Hole in Our Galactic Center
A. Hees, T. Do, B. M. Roberts +11
Searching for space-time variations of the constants of Nature is a promising way to search for new physics beyond General Relativity and the standard model motivated by unificatio…
A Significant Feature in the General Relativistic Time Evolution of the Redshift of Photons Coming from a Star Orbiting Sgr A*
Hiromi Saida, Shogo Nishiyama, Takayuki Ohgami +16
The star S0-2, orbiting the Galactic central massive black hole candidate Sgr A*, passed its pericenter in May 2018. This event is the first chance to detect the general relativist…