scholarly journals Hadamard renormalization of the stress energy tensor in a spherically symmetric black hole space-time with an application to lukewarm black holes

2012 ◽  
Vol 85 (8) ◽  
Author(s):  
Cormac Breen ◽  
Adrian C. Ottewill
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Space Time ◽  
Energy Tensor ◽  
Spherically Symmetric ◽  
Stress Energy Tensor ◽  
Stress Energy ◽  
Symmetric Black Hole

scholarly journals Homotheties of a Class of Spherically Symmetric Space-Time Admitting G3 as Maximal Isometry Group

2018 ◽  
Vol 2018 ◽  
pp. 1-8 ◽  
Author(s):  
Daud Ahmad ◽  
Kashif Habib
Keyword(s):  
Symmetric Space ◽  
Isometry Group ◽  
Space Time ◽  
Energy Tensor ◽  
Spherically Symmetric ◽  
Stress Energy Tensor ◽  
Isometry Groups ◽  
Differential Constraint ◽  
Stress Energy ◽  
Relevant Section

The homotheties of spherically symmetric space-time admitting G4, G6, and G10 as maximal isometry groups are already known, whereas, for the space-time admitting G3 as isometry groups, the solution in the form of differential constraints on metric coefficients requires further classification. For a class of spherically symmetric space-time admitting G3 as maximal isometry groups without imposing any restriction on the stress-energy tensor, the metrics along with their corresponding homotheties are found. In one case, the metric is found along with its homothety vector that satisfies an additional constraint and is illustrated with the help of an example of a metric. In another case, the metric and the corresponding homothety vector are found for a subclass of spherically symmetric space-time for which the differential constraint is reduced to separable form. Stress-energy tensor and related quantities of the metrics found are given in the relevant section.

scholarly journals Regular Frames for Spherically Symmetric Black Holes Revisited

Symmetry ◽  
2021 ◽  
Vol 14 (1) ◽  
pp. 40
Author(s):  
Alexey V. Toporensky ◽  
Oleg B. Zaslavskii
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Specific Energy ◽  
General Scheme ◽  
Space Time ◽  
Coordinate Frame ◽  
Spherically Symmetric ◽  
Symmetric Black Hole

We consider a space-time of a spherically symmetric black hole with one simple horizon. As a standard coordinate frame fails in its vicinity, this requires continuation across the horizon and constructing frames which are regular there. Up to now, several standard frames of such a kind are known. It was shown in the literature before, how some of them can be united in one picture as different limits of a general scheme. However, some types of frames (the Kruskal–Szekeres and Lemaître ones) and transformations to them from the original one remained completely disjoint. We show that the Kruskal–Szekeres and Lemaître frames stem from the same root. Overall, our approach in some sense completes the procedure and gives the most general scheme. We relate the parameter of transformation e0 to the specific energy of fiducial observers and show that in the limit e0→0, a homogeneous metric under the horizon can be obtained by a smooth limiting transition.

scholarly journals Stress Energy Tensor Study in Fluid Mechanics

2019 ◽  
Author(s):  
Roman Baudrimont
Keyword(s):  
General Relativity ◽  
Fluid Mechanics ◽  
Space Time ◽  
Newtonian Fluids ◽  
Third Party ◽  
Energy Tensor ◽  
Stress Energy Tensor ◽  
Perfect Fluids ◽  
Stress Energy

This paper is to summarize the involvement of the stress energy tensor in the study of fluid mechanics. In the first part we will see the implication that carries the stress energy tensor in the framework of general relativity. In the second part, we will study the stress energy tensor under the mechanics of perfect fluids, allowing us to lead third party in the case of Newtonian fluids, and in the last part we will see that it is possible to define space-time as a no-Newtonian fluids.

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