scholarly journals Problems on distortion under conformal mappings

1988 ◽  
pp. 197-197
Author(s):  
José L. Fernandez
Keyword(s):  
Conformal Mappings

scholarly journals Conformal mapping of the Misner–Sharp mass from gravitational collapse

2016 ◽  
Vol 25 (07) ◽  
pp. 1650081 ◽  
Author(s):  
Fayçal Hammad
Keyword(s):  
Conformal Mapping ◽  
Gravitational Collapse ◽  
Conformal Transformation ◽  
Conformal Mappings ◽  
Conformal Transformations ◽  
Theories Of Gravity ◽  
Definition Of ◽  
Geometric Definition

The conformal transformation of the Misner–Sharp mass is reexamined. It has recently been found that this mass does not transform like usual masses do under conformal mappings of spacetime. We show that when it comes to conformal transformations, the widely used geometric definition of the Misner–Sharp mass is fundamentally different from the original conception of the latter. Indeed, when working within the full hydrodynamic setup that gave rise to that mass, i.e. the physics of gravitational collapse, the familiar conformal transformation of a usual mass is recovered. The case of scalar–tensor theories of gravity is also examined.

Conformal mappings of a once-holed torus

1995 ◽  
Vol 66 (1) ◽  
pp. 117-136 ◽  
Author(s):  
Makoto Masumoto
Keyword(s):  
Conformal Mappings

Conformal mappings of the disk onto convex domains

1992 ◽  
Vol 44 (10) ◽  
pp. 1217-1223
Author(s):  
V. Ya. Gutlyanskii ◽  
S. A. Kopanev
Keyword(s):  
Conformal Mappings ◽  
Convex Domains

An approximation of conformal mappings on smooth domains

2013 ◽  
Vol 58 (6) ◽  
pp. 741-750
Author(s):  
Burcin Oktay ◽  
Daniyal M. Israfilov
Keyword(s):  
Conformal Mappings
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