SPHERICALLY SYMMETRIC VACUUM SOLUTION IN ASHTEKAR'S FORMULATION OF GRAVITY

1991 ◽  
Vol 06 (33) ◽  
pp. 3047-3053 ◽  
Author(s):  
KIYOSHI KAMIMURA ◽  
SHINOBU MAKITA ◽  
TAKESHI FUKUYAMA
Keyword(s):  
Einstein Equation ◽  
Vacuum Solution ◽  
De Sitter Space ◽  
North Pole ◽  
Spherically Symmetric ◽  
South Pole ◽  
De Sitter ◽  
Similar Form ◽  
The North ◽  
Symmetric Vacuum

The Schwarzschild–de Sitter solution of Einstein equation is discussed in the Ashtekar formalism. The gauge connections have a similar form to those non-Abelian monopole solutions. In the de Sitter space we find a monopole at the North pole and an anti-monopole at the South pole of S3.

Schwarzschild–Droste solution

2021 ◽  
pp. 229-248
Author(s):  
Andrew M. Steane
Keyword(s):  
Field Equation ◽  
Vacuum Solution ◽  
Einstein Field Equation ◽  
Accretion Disc ◽  
Circular Motion ◽  
Spherically Symmetric ◽  
De Sitter ◽  
Christoffel Symbols ◽  
Symmetric Vacuum ◽  
Physical Phenomena

The spherically symmetric vacuum solution to the Einstein field equation (Schwarzschild-Droste solution) is derived and associated physical phenomena derived and explained. It is shown how to obtain the Christoffel symbols by the Euler-Lagrange method, and hence the metric for the general spherically symmetric vacuum. Equations for general orbits are presented, and their solution for radial motion and for circular motion. Geodetic (de Sitter) precession is calculated exactly for circular orbits. The null geodesics (photon worldlines) are obtained, and the gravitational redshift. Emission from an accretion disc is calculated.

scholarly journals On the errors in longitude as determined by chronometers at sea, arising from the action of the iron in the ships upon the chronometers

1833 ◽  
Vol 2 ◽  
pp. 130-131
Keyword(s):  
North Pole ◽  
South Pole ◽  
The North ◽  
Magnetic Action

The sudden alterations in the rates of chronometers, when taken on board ships, are generally ascribed to the motion of the vessel; but from circumstances connected with the chronometers of the Dorothea and Trent, during the late voyage to the North Pole, the author is induced to refer these alterations to other causes: he found that in all cases the gaining rates were increased and their losing ones diminished on ship-board. That this acceleration does not arise from the ship’s motion, was shown by its occurrence when the Dorothea and Trent were beset with ice, and when they were at anchor close in shore without any perceptible motion; nor does it appear that change of temperature was at any time the cause of this change of rates. That the iron in ships becomes magnetic is shown by its polarity, the whole forming, as it were, a large magnet, having its south pole on deck and its north pole below. The inner rim of the balance of chronometers, which is made of steel, will, therefore, be liable to magnetic action, which will be sufficient to cause a very sensible alteration in their rate of going. Mr. Fisher concludes this communication with some account of experiments on the action of magnets upon chronometers placed in various positions with respect to their balances, by which it appears that an acceleration in these cases always ensues. It also appears probable, he observes, that the force of the balance spring is affected by the same cause, since chronometers in which they are made of gold, though more difficult to adjust, keep better rates at sea than others.

scholarly journals TURBULENT INSTABILITY OF ANTI-DE SITTER SPACE–TIME

2013 ◽  
Vol 28 (22n23) ◽  
pp. 1340020 ◽  
Author(s):  
MACIEJ MALIBORSKI ◽  
ANDRZEJ ROSTWOROWSKI
Keyword(s):  
Scalar Field ◽  
Cosmological Constant ◽  
Numerical Study ◽  
De Sitter Space ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Spherically Symmetric ◽  
De Sitter ◽  
Field System ◽  
Technical Details

In these lecture notes, we discuss recently conjectured instability of anti-de Sitter space, resulting in gravitational collapse of a large class of arbitrarily small initial perturbations. We uncover the technical details used in the numerical study of spherically symmetric Einstein-massless scalar field system with negative cosmological constant that led to the conjectured instability.

Polar aspects of the Transglobe Expedition

Polar Record ◽  
1984 ◽  
Vol 22 (136) ◽  
pp. 51-56
Author(s):  
Ranulph Fiennes
Keyword(s):  
Ellesmere Island ◽  
North Pole ◽  
Polar Regions ◽  
South Pole ◽  
The South ◽  
Northwest Passage ◽  
The North ◽  
Pack Ice ◽  
Greenwich Meridian ◽  
The World

AbstractThe Transglobe Expedition (leader Sir Ranulph Fiennes, Bt.), circumnavigated the world between September 1979 and 1982, keeping as close as possible to the Greenwich meridian. This involved journeys in both polar regions. During the expedition's southern phase (1979–81) two overwintering bases were established in Antarctica and a party of three crossed the icecap on snowmobiles, via the South Pole. During the northern phase (1981–83) two men traversed the Northwest Passage by boat on foot, sledging across Ellesmere Island to the settlement of Alert, where a party of three overwintered. Two then set out over the pack ice, crossing the North Pole and drifting with the floating ice toward Svalbard, to be picked up by the expedition ship.

scholarly journals A Brief Observational History of the Black-Hole Spacetimes

2015 ◽  
Vol 2015 ◽  
pp. 1-4 ◽  
Author(s):  
Wolfgang Kundt
Keyword(s):  
Black Holes ◽  
Black Hole ◽  
Vacuum Solution ◽  
Albert Einstein ◽  
Spherically Symmetric ◽  
100Th Birthday ◽  
Black Hole Spacetimes ◽  
History Of ◽  
Symmetric Vacuum

In this year (2015), black holes (BHs) celebrate their 100th birthday, if their birth is taken to be triggered by a handwritten letter from Martin Schwarzschild to Albert Einstein, in connection with his newly found spherically symmetric vacuum solution.

Oppegård kirke, Oppegård, Norway: fixing the location where Roald Amundsen revealed his ‘minor diversion’

Polar Record ◽  
2013 ◽  
Vol 50 (2) ◽  
pp. 222-224
Author(s):  
P.J. Capelotti ◽  
Susan Barr
Keyword(s):  
North Pole ◽  
South Pole ◽  
The South ◽  
The North ◽  
Adequate Funding ◽  
History Of ◽  
North Polar ◽  
Grave Markers ◽  
Clear Objective

ABSTRACTAfter learning in the first week of September 1909 that the North Pole had been claimed, the career and prospects of the Norwegian explorer Roald Amundsen hung in the balance. Scheduled to lead an exploration of the north polar basin, Amundsen suddenly found himself without adequate funding or a clear objective. His self-described ‘coup’ to turn southwards and reach for the South Pole was perhaps the most dramatic and best-kept secret in the history of polar exploration. Amundsen shared his decision only with a very select few, including his brother and manager, Leon Amundsen, a scene dramatised in the 1985 television mini-series The last place on earth. The location used in the film is identified at the unusual grave markers of the Ingier family outside Oppegård kirke in Oppegård, Norway, about five km from the site of Amundsen's home on Bunnefjorden, a branch of Oslofjord.

scholarly journals Effect of magnetic field of both north and south pole on the growth and viability of the local isolate Aspergillus flavus sh1 and its capability for the production of aflatoxin

2013 ◽  
Vol 7 (1) ◽  
pp. 14-20
Author(s):  
Shaimaa Ismael Kadhum
Keyword(s):  
Magnetic Field ◽  
Aspergillus Flavus ◽  
Aflatoxin Production ◽  
North Pole ◽  
South Pole ◽  
The South ◽  
Local Isolate ◽  
The North ◽  
North And South

This study included the investigation of the effect of magnetic field of both north and south pole on the growth and viability of the local isolate of Aspergillus flavus, and its capability for the production of aflatoxin.The results showed that the north pole effect of the growth and viability of the tested isolate and it's capability for aflatoxin production. The colonies diameter were (50,60,70 )mm to the (north pole, south pole, north and south pole) treatments and the control was (60)mm. The numbers of spores to the same treatments were (12×107 ,50×107,31×107) spore/100 ml while the control was (30×107) spore/100ml.The dried weight of the same treatments were (0.11,0.36,0.25)gm while the control was (0.23)gm.The south pole show an efficiency in staining Aspergillus flavus sh1 comparing with the north pole. And so the North Pole was reduced the production of aflatoxin, while the South Pole increased the aflatoxin production.

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