Modified Quaternionic Analysis in R[sup 3] and Generalizations of Conformal Mappings of the Second Kind

2011 ◽  
Author(s):  
Dmitry Bryukhov ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras ◽  
Zacharias Anastassi
Keyword(s):  
Conformal Mappings ◽  
Quaternionic Analysis ◽  
Modified Quaternionic Analysis

On modified quaternionic analysis in $ {\Bbb R}^3 $

1998 ◽  
Vol 70 (3) ◽  
pp. 228-234 ◽  
Author(s):  
Sirkka-Liisa Eriksson-Bique ◽  
Heinz Leutwiler
Keyword(s):  
Quaternionic Analysis ◽  
Modified Quaternionic Analysis

Slice quaternionic analysis in two variables

2021 ◽  
pp. 1-24
Author(s):  
Xinyuan Dou ◽  
Guangbin Ren ◽  
Irene Sabadini ◽  
Xieping Wang
Keyword(s):  
Quaternionic Analysis

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.

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