Null Line Preserving Bijections of Schwarzschild Spacetime

1999 ◽  
Vol 201 (2) ◽  
pp. 471-491 ◽  
Author(s):  
Wen-ling Huang
2014 ◽  
Vol 90 (12) ◽  
Author(s):  
David Edward Bruschi ◽  
Animesh Datta ◽  
Rupert Ursin ◽  
Timothy C. Ralph ◽  
Ivette Fuentes

2017 ◽  
Vol 14 (04) ◽  
pp. 1750055
Author(s):  
Ahmida Bendjoudi ◽  
Noureddine Mebarki

A discretization for the Schwarzschild spacetime manifold is introduced and investigated. It is shown that the discreteness of the area of space shown in loop gravity leads to a tetrahedral structure characterizing the Schwarzschild manifold.


2017 ◽  
Vol 96 (2) ◽  
Author(s):  
S. Ph. Tegai ◽  
I. V. Drobov

Author(s):  
Pawel Gusin ◽  
Andy Augousti ◽  
Filip Formalik ◽  
Andrzej Radosz

A black hole in a Schwarzschild spacetime is considered. A transformation is proposed that describes the relationship between the coordinate systems exterior and interior to an event horizon. Application of this transformation permits considerations of the (a)symmetry of a range of phenomena taking place on both sides of the event horizon. The paper investigates two distinct problems of a uniformly accelerated particle. In one of these, although the equations of motion are the same in the regions on both sides, the solutions turn out to be very different. This manifests the differences of the properties of these two ranges.


2021 ◽  
Author(s):  
Kelsey Coppenrath ◽  
Andre Luiz Pasqua Tavares ◽  
Nikko-Ideen Shaidani ◽  
Marcin Wlizla ◽  
Sally A Moody ◽  
...  

The vertebrate Six (Sine oculis homeobox) family of homeodomain transcription factors play critical roles in the development of several organs. Six1 plays a central role in cranial placode development, including the precursor tissues of the inner ear, as well as other cranial sensory organs and the kidney. In humans, mutations in SIX1 underlie some cases of branchio-oto-renal syndrome (BOR), which is characterized by moderate to severe hearing loss. We utilized CRISPR/Cas9 technology to establish a six1 mutant line in Xenopus tropicalis that is available to the research community. We demonstrate that at larval stages, the six1-null animals show severe disruptions in gene expression of putative Six1 target genes in the otic vesicle, cranial ganglia, branchial arch and neural tube. At tadpole stages, six1-null animals display dysmorphic Meckel's, ceratohyal and otic capsule cartilage morphology. This mutant line will be of value for the study of the development of several organs as well as congenital syndromes that involve these tissues.


1986 ◽  
Vol 9 (1-2) ◽  
pp. 107-118 ◽  
Author(s):  
J. A. Lester ◽  
J. A. Lester

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