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pro vyhledávání: '"Eskin, Gregory"'
Autor:
Eskin, Gregory
We consider a Lorentzian metric in $\mathbb{R}\times\mathbb{R}^n$. We show that if we know the lengths of the space-time geodesics starting at $(0,y,\eta)$ when $t=0$, then we can recover the metric at $y$. We prove the rigidity of Lorentzian metrics
Externí odkaz:
http://arxiv.org/abs/2208.01842
Autor:
Eskin, Gregory
We study the Lorentzian metric independent of the time variable in the cylinder $\mathbb{R}\times\Omega$ where $x_0\in\mathbb{R}$ is the time variable and $\Omega$ is a bounded smooth domain in $\mathbb{R}^n$. We consider forward null-geodesics in $\
Externí odkaz:
http://arxiv.org/abs/2205.05860
Autor:
Eskin, Gregory
Publikováno v:
Reviews in Mathematical Physics, vol. 36, No 02, 2430001 (2024)
For a wave equation with time-independent Lorentzian metric consider an initial-boundary value problem in $\mathbb{R}\times \Omega$, where $x_0\in \mathbb{R}$, is the time variable and $\Omega$ is a bounded domain in $\mathbb{R}^n$. Let $\Gamma\subse
Externí odkaz:
http://arxiv.org/abs/2008.11342
Autor:
Eskin, Gregory
Publikováno v:
Rep. Math. Phys. 88 (2021), no.2, 161-174
We consider a time-dependent acoustic metric in 2+1 dimensions having a black hole and we study the Hawking type radiation from such black hole. We construct eikonals of special form with the support close to the black hole. We compute the average nu
Externí odkaz:
http://arxiv.org/abs/1912.12775
Autor:
Eskin, Gregory
Publikováno v:
Contemporary Mathematics, volume 734, 2019
Rotating acoustic metrics may have black holes inside the ergosphere. Simple cases of acoustic black holes were studied in the references [21], [4]. In the present paper we study the Hawking radiation for more complicated cases of acoustic black hole
Externí odkaz:
http://arxiv.org/abs/1906.06038
Autor:
Eskin, Gregory
Publikováno v:
Pure and Applied Functional Analysis, 2 (2022), no. 3, 975-992
We consider the non-extremal Reissner-Nordstrom black hole and construct a wave packet that exhibits the Hawking radiation. We find the average of the number of the created particles with respect to the $|0\rangle$ vacuum state and with respect to Un
Externí odkaz:
http://arxiv.org/abs/1902.05202
Autor:
Eskin, Gregory
Publikováno v:
Reviews in Math. Phys., vol. 31, No 7 (2019), 1950021
We show that an incoming null-geodesic belonging to a plane passing through the origin and starting outside the outer horizon crosses the outer and the inner horizons. Then it turns at some point inside the inner horizon and approaches the inner hori
Externí odkaz:
http://arxiv.org/abs/1807.10420
Autor:
Eskin, Gregory, Hall, Michael
Publikováno v:
Methods of Funct. Anal. Topology, 24(2018), No. 2, 98-106, 83c57
For a stationary spacetime metric, black holes are spatial regions which disturbances may not propagate out of. In our previous work an existence and regularity theorem was proven for black holes in two space dimensions, in the case where the boundar
Externí odkaz:
http://arxiv.org/abs/1801.10206
Autor:
Eskin, Gregory
Publikováno v:
Journal of Math. Physics, vol. 59, 072502 (2018)
We study the Hawking radiation for the acoustic black hole. In the beginning we follow the outline of T.Jacobson but then we use a different $2+1$ vacuum state similar to the vacuum state constructed by W.Unruh. We also use a special form of the wave
Externí odkaz:
http://arxiv.org/abs/1608.05860
Autor:
Eskin, Gregory
Publikováno v:
Commun. Math. Sci., Vol. 16, No. 6, pp. 1749-1755, 2018
In recent years a remarkable progress was made in the construction of spatial cloaks using the methods of transformation optics and metamaterials. The temporal cloaking, i.e. the cloaking of an event in spacetime, was also widely studied by using tra
Externí odkaz:
http://arxiv.org/abs/1603.07081