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A Metric for Gravitational Collapse Around a Schwarzschild Black Hole
(World Scientific Publishing, 2023) Erdem, Recai; Demirkaya, Betül; Gültekin, Kemal
We consider the problem of gravitational collapse of a fluid under the effect of a small Schwarzschild black hole (e.g. a primordial one). We assume the fluid initially may be approximated by a uniform homogeneous dust. Starting from this configuration we obtain a class of metrics under some physically justified assumptions. We find that the metric we obtain includes the dust collapse as a subcase. After discussing some basic properties of the solution, we discuss the case of dust collapse in more detail. We find that the radial and tangential pressures outside the horizon may take positive or negative values depending on the values of the parameters.
Citation - WoS: 2
Citation - Scopus: 2
Single Scale Factor for the Universe From the Creation of Radiation and Matter Till the Present
(Springer Verlag, 2014) Erdem, Recai
A scheme for incorporating the creation of radiation and matter into the cosmological evolution is introduced so that it becomes possible to merge the times before and after the creation of radiation and matter in a single scale factor in the Robertson–Walker metric. This scheme is illustrated through a toy model that has the prospect of constituting a basis for a realistic model.

Physics / Fizik