scholarly journals On the hypotheses of Penrose’s singularity theorem under disformal transformations

2020 ◽  
Vol 80 (3) ◽  
Author(s):  
Eduardo Bittencourt ◽  
Gabriel G. Carvalho ◽  
Iarley P. Lobo ◽  
Leandro Santana
Keyword(s):  
2000 ◽  
Vol 15 (06) ◽  
pp. 391-395 ◽  
Author(s):  
A. K. RAYCHAUDHURI

It is shown that if the time-like eigenvector of the Ricci tensor is hypersurface orthogonal so that the space–time allows a foliation into space sections, then the space average of each of the scalars that appears in the Raychaudhuri equation vanishes provided that the strong energy condition holds good. This result is presented in the form of a singularity theorem.


2012 ◽  
Vol 14 (03) ◽  
pp. 1250020 ◽  
Author(s):  
WENDONG WANG ◽  
ZHIFEI ZHANG

We study the regularity of weak solution for the Navier–Stokes equations in the class L∞( BMO-1). It is proved that the weak solution in L∞( BMO-1) is regular if it satisfies a mild assumption on the vorticity direction, or it is axisymmetric. A removable singularity theorem in ∈ L∞( VMO-1) is also proved.


Pramana ◽  
2007 ◽  
Vol 69 (1) ◽  
pp. 31-47 ◽  
Author(s):  
J. M. M. Senovilla
Keyword(s):  

2005 ◽  
Vol 14 (12) ◽  
pp. 2219-2225 ◽  
Author(s):  
YUAN K. HA

A new theorem for black holes is found. It is called the horizon mass theorem. The horizon mass is the mass which cannot escape from the horizon of a black hole. For all black holes, neutral, charged or rotating, the horizon mass is always twice the irreducible mass observed at infinity. Previous theorems on black holes are: (i) the singularity theorem, (ii) the area theorem, (iii) the uniqueness theorem, (iv) the positive energy theorem. The horizon mass theorem is possibly the last general theorem for classical black holes. It is crucial for understanding Hawking radiation and for investigating processes occurring near the horizon.


2020 ◽  
Vol 29 (12) ◽  
pp. 3-9
Author(s):  
Gungwon KANG

Penrose’s singularity theorem and its impacts on black hole physics are reviewed briefly.


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