Particle motion in the spherically symmetric vacuum solution with positive cosmological constant

1989 ◽  
Vol 21 (9) ◽  
pp. 941-951 ◽  
Author(s):  
M. J. Jaklitsch ◽  
Charles Hellaby ◽  
D. R. Matravers
Keyword(s):  
Cosmological Constant ◽  
Particle Motion ◽  
Vacuum Solution ◽  
Spherically Symmetric ◽  
Positive Cosmological Constant ◽  
Symmetric Vacuum

Five-dimensional spherical gravitational collapse of anisotropic fluid with cosmological constant

2017 ◽  
Vol 14 (02) ◽  
pp. 1750025 ◽  
Author(s):  
Suhail Khan ◽  
Hassan Shah ◽  
Ghulam Abbas
Keyword(s):  
Cosmological Constant ◽  
Apparent Horizon ◽  
Physical Significance ◽  
Anisotropic Fluid ◽  
Spherically Symmetric ◽  
Hole Size ◽  
Junction Conditions ◽  
De Sitter ◽  
Positive Cosmological Constant ◽  
Exterior Regions

Our aim is to study five-dimensional spherically symmetric anisotropic collapse with a positive cosmological constant (PCC). For this purpose, five-dimensional spherically symmetric and Schwarzschild–de Sitter metrics are chosen in the interior and exterior regions respectively. A set of junction conditions is derived for the smooth matching of interior and exterior spacetimes. The apparent horizon is calculated and its physical significance is studied. It comes out that the whole collapsing process is influenced by the cosmological constant. The collapsing process under the influence of cosmological constant slows down and black hole size also reduced.

scholarly journals Conformal geodesics in spherically symmetric vacuum spacetimes with cosmological constant

2018 ◽  
Vol 35 (4) ◽  
pp. 045002 ◽  
Author(s):  
A García-Parrado Gómez-Lobo ◽  
E Gasperín ◽  
J A Valiente Kroon
Keyword(s):  
Cosmological Constant ◽  
Spherically Symmetric ◽  
Symmetric Vacuum

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.

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.

scholarly journals THE CONSISTENT NEWTONIAN LIMIT OF EINSTEIN'S GRAVITY WITH A COSMOLOGICAL CONSTANT

2001 ◽  
Vol 10 (05) ◽  
pp. 649-661 ◽  
Author(s):  
MAREK NOWAKOWSKI
Keyword(s):  
Boundary Condition ◽  
General Relativity ◽  
Cosmological Constant ◽  
Mass Distribution ◽  
Newtonian Limit ◽  
Spherically Symmetric ◽  
Maximum Mass ◽  
Finite Range ◽  
Positive Cosmological Constant ◽  
The Poisson Equation

We derive the "exact" Newtonian limit of general relativity with a positive cosmological constant Λ. We point out that in contrast to the case with Λ=0, the presence of a positive Λ in Einsteins's equations enforces, via the condition |Φ|≪1 on the potential Φ, a range ℛ max (Λ)≫r≫ℛ min (Λ), within which the Newtonian limit is valid. It also leads to the existence of a maximum mass, ℳ max (Λ). As a consequence we cannot put the boundary condition for the solution of the Poisson equation at infinity. A boundary condition suitably chosen now at a finite range will then get reflected in the solution of Φ provided the mass distribution is not spherically symmetric.

scholarly journals A NOTE ON CONSTANT CURVATURE SOLUTIONS IN CYLINDRICALLY SYMMETRIC METRIC f(R) GRAVITY

2009 ◽  
Vol 18 (11) ◽  
pp. 1719-1729 ◽  
Author(s):  
D. MOMENI ◽  
H. GHOLIZADE
Keyword(s):  
Exact Solution ◽  
Cosmological Constant ◽  
Exact Solutions ◽  
Constant Curvature ◽  
Initial Conditions ◽  
Vacuum Solution ◽  
Cylindrically Symmetric ◽  
Symmetric Vacuum ◽  
Theories Of Gravity ◽  
Two Parameter

In the previous work we introduced a new static cylindrically symmetric vacuum solution in Weyl coordinates in the context of the metric f(R) theories of gravity.1 Now we obtain a two-parameter family of exact solutions which contains a cosmological constant and a new parameter as β. This solution corresponds to a constant Ricci scalar. We proved that in f(R) gravity the constant curvature solution in cylindrically symmetric cases is only one member of the most generalized Tian family in GR. We show that our constant curvature exact solution is applicable to the exterior of a string. The sensibility of stability under initial conditions is discussed.

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