Zobrazeno 1 - 10
of 44
pro vyhledávání: '"Datta, Satadal"'
Autor:
Datta, Satadal, Fischer, Uwe R.
Addressing the general question whether Penrose singularities physically exist inside black holes, we investigate the problem in the context of an analogue system, a flowing laboratory liquid, for which the governing equations are at least in princip
Externí odkaz:
http://arxiv.org/abs/2407.18165
Publikováno v:
Class. Quantum Grav. 40, 215001 (2023)
In an effort to invariantly characterize the conformal curvature structure of analogue spacetimes built from a nonrelativistic fluid background, we determine the Petrov type of a variety of laboratory geometries. Starting from the simplest examples,
Externí odkaz:
http://arxiv.org/abs/2305.12771
Autor:
Datta, Satadal
We derive rotation free Lorentz Transformation (LT) between two inertial reference frames without using the second postulate of Einstein, i.e., we do not assume the invariant speed of light (in vacuum) under LT. We find a general transformation rule
Externí odkaz:
http://arxiv.org/abs/2212.03706
Autor:
Fischer, Uwe R., Datta, Satadal
Publikováno v:
Phys. Rev. D 107, 084023 (2023)
A dispersionless shock wave in a fluid without friction develops an acoustic spacetime singularity which is naked (not hidden by a horizon). We show that this naked nondispersive shock-wave singularity is prohibited to form in a Bose-Einstein condens
Externí odkaz:
http://arxiv.org/abs/2209.02763
Autor:
Datta, Satadal, Fischer, Uwe R.
Publikováno v:
Class. Quantum Grav. 39, 075018 (2022)
The dynamics of sound in a fluid is intrinsically nonlinear. We derive the consequences of this fact for the analogue gravitational field experienced by sound waves, by first describing generally how the nonlinearity of the equation for phase fluctua
Externí odkaz:
http://arxiv.org/abs/2110.11083
Autor:
Datta, Satadal, Fischer, Uwe R.
Publikováno v:
Phys. Rev. D 105, 022003 (2022)
We consider the propagation of nonlinear sound waves in a perfect fluid at rest. By employing the Riemann wave equation of nonlinear acoustics in one spatial dimension, it is shown that waves carrying a constant density perturbation at their tails pr
Externí odkaz:
http://arxiv.org/abs/2011.05837
Autor:
Datta, Satadal, Mitra, Arpan Krishna
We consider classical fluids in non-relativistic framework. The flow is considered to be barotropic, inviscid and rotational. We study the linear perturbations over a steady state background flow. We find the acoustic metric from the conservation equ
Externí odkaz:
http://arxiv.org/abs/2007.10954
Limit cycles (attractors for neighbouring periodic orbits in a dissipative dynamical system) have been widely studied but the corresponding generalization for quasi periodic orbits have rarely been discussed. Here we investigate "higher dimensional l
Externí odkaz:
http://arxiv.org/abs/2004.10004
Autor:
Datta, Satadal, Das, Tapas K.
We make use of the Lagrangian description of fluid motion to highlight certain features in the context of spacetime geometry as emergent phenomena in fluid systems. By using Lagrangian Perturbation Theory (LPT), we find that if the flow is not barotr
Externí odkaz:
http://arxiv.org/abs/1910.06768
Autor:
Datta, Satadal
We consider time dependent problem in perturbative approach for a nonrelativistic inviscid spherically symmetric accretion model where the effect of the gravity of the medium is considered in Newtonian gravity framework. We consider spherically symme
Externí odkaz:
http://arxiv.org/abs/1902.00359