scholarly journals General relativistic theory of one-dimensional Lagrangian functions

1968 ◽  
Vol 24 (4) ◽  
pp. 403-418 ◽  
Author(s):  
G. Knapecz
Keyword(s):  
Relativistic Theory ◽  
Lagrangian Functions ◽  
One Dimensional ◽  
General Relativistic

scholarly journals On monolithic supermassive stars

2020 ◽  
Vol 494 (2) ◽  
pp. 2236-2243 ◽  
Author(s):  
Tyrone E Woods ◽  
Alexander Heger ◽  
Lionel Haemmerlé
Keyword(s):  
Early Universe ◽  
Stellar Evolution ◽  
Time Scale ◽  
Main Sequence ◽  
Massive Stars ◽  
Rotating Stars ◽  
One Dimensional ◽  
General Relativistic ◽  
The One ◽  
Limiting Case

ABSTRACT Supermassive stars have been proposed as the progenitors of the massive ($\sim \!10^{9}\, \mathrm{M}_{\odot }$) quasars observed at z ∼ 7. Prospects for directly detecting supermassive stars with next-generation facilities depend critically on their intrinsic lifetimes, as well as their formation rates. We use the one-dimensional stellar evolution code kepler to explore the theoretical limiting case of zero-metallicity non-rotating stars, formed monolithically with initial masses between $10$ and $190\, \mathrm{kM}_{\odot }$. We find that stars born with masses between $\sim\! 60$ and $\sim\! 150\, \mathrm{kM}_{\odot }$ collapse at the end of the main sequence, burning stably for $\sim\! 1.5\, \mathrm{Myr}$. More massive stars collapse directly through the general relativistic instability after only a thermal time-scale of $\sim\! 3$–$4\, \mathrm{kyr}$. The expected difficulty in producing such massive thermally relaxed objects, together with recent results for currently preferred rapidly accreting formation models, suggests that such ‘truly direct’ or ‘dark’ collapses may not be typical for supermassive objects in the early Universe. We close by discussing the evolution of supermassive stars in the broader context of massive primordial stellar evolution and the possibility of supermassive stellar explosions.

A NEW EXTENSION OF GENERAL RELATIVISTIC THEORY

1994 ◽  
Vol 03 (02) ◽  
pp. 393-419 ◽  
Author(s):  
MASATOSHI YAZAKI
Keyword(s):  
General Relativity ◽  
General Theory ◽  
Relativistic Theory ◽  
Maxwell's Equations ◽  
Geometrical Structure ◽  
Finsler Geometry ◽  
Theory Of Relativity ◽  
General Theory Of Relativity ◽  
General Relativistic ◽  
Einstein’S General Relativity

The possibility of a new extension of the general relativistc theory will be considered using Finsler geometry. The extension of Einstein’s general relativity can be expected to regard gravitational, electroweak, and strong interactive fields as geometrical structure of a spacetime based on Finsler geometry. Indeed, it will be shown that this theory can include the general theory of relativity under a certain special condition. In addition, Maxwell’s equations will be expressed using new metric representations of the electromagnetic vector and its tensor. Moreover, it will be suggested that this theory may include metric representations of weak and strong interactive fields.

Fluctuations in the general relativistic theory of continuous media

1984 ◽  
Vol 34 (2) ◽  
pp. 99-104
Author(s):  
N. Salié ◽  
R. Wulfert ◽  
W. Zimdahl
Keyword(s):  
Relativistic Theory ◽  
Continuous Media ◽  
General Relativistic
Sign in / Sign up

Export Citation Format

Share Document