scholarly journals Junction conditions in infinite derivative gravity

2021 ◽  
Vol 103 (6) ◽  
Author(s):  
Ivan Kolář ◽  
Francisco José Maldonado Torralba ◽  
Anupam Mazumdar
Keyword(s):  
Junction Conditions ◽  
Infinite Derivative

Black hole solutions and thermodynamics in the infinite derivative theory of gravity

2021 ◽  
Vol 103 (4) ◽  
Author(s):  
Yong Xiao ◽  
Yong Chen ◽  
Haiyuan Feng ◽  
Chenrui Zhu
Keyword(s):  
Black Hole ◽  
Theory Of Gravity ◽  
Infinite Derivative ◽  
Black Hole Solutions

RADIATING COLLAPSE WITH VANISHING WEYL STRESSES

2005 ◽  
Vol 14 (03n04) ◽  
pp. 667-676 ◽  
Author(s):  
S. D. MAHARAJ ◽  
M. GOVENDER
Keyword(s):  
Irreversible Thermodynamics ◽  
Temperature Profiles ◽  
Junction Conditions ◽  
Einstein Field Equations ◽  
Field Equations ◽  
Extended Irreversible Thermodynamics ◽  
Recent Approach ◽  
Dust Solution ◽  
Limiting Case

In a recent approach in modeling a radiating relativistic star undergoing gravitational collapse the role of the Weyl stresses was emphasized. It is possible to generate a model which is physically reasonable by approximately solving the junction conditions at the boundary of the star. In this paper we demonstrate that it is possible to solve the Einstein field equations and the junction conditions exactly. This exact solution contains the Friedmann dust solution as a limiting case. We briefly consider the radiative transfer within the framework of extended irreversible thermodynamics and show that relaxational effects significantly alter the temperature profiles.

scholarly journals Kodama-Schwarzschild versus Gaussian Normal Coordinates Picture of Thin Shells

2016 ◽  
Vol 2016 ◽  
pp. 1-6 ◽  
Author(s):  
Mikhail Z. Iofa
Keyword(s):  
Spherical Shell ◽  
Coordinate Transformation ◽  
Time Dependent ◽  
Thin Shells ◽  
Junction Conditions ◽  
Coordinate Systems ◽  
Normal Coordinate ◽  
Normal Coordinates

Geometry of the spacetime with a spherical shell embedded in it is studied in two coordinate systems: Kodama-Schwarzschild coordinates and Gaussian normal coordinates. We find explicit coordinate transformation between the Kodama-Schwarzschild and Gaussian normal coordinate systems. We show that projections of the metrics on the surface swept by the shell in the 4D spacetime in both cases are identical. In the general case of time-dependent metrics we calculate extrinsic curvatures of the shell in both coordinate systems and show that the results are identical. Applications to the Israel junction conditions are discussed.

scholarly journals Towards nonsingular rotating compact object in ghost-free infinite derivative gravity

2018 ◽  
Vol 98 (8) ◽  
Author(s):  
Luca Buoninfante ◽  
Alan S. Cornell ◽  
Gerhard Harmsen ◽  
Alexey S. Koshelev ◽  
Gaetano Lambiase ◽  
...  
Keyword(s):  
Compact Object ◽  
Infinite Derivative

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 Some analytic models of plane symmetric radiating collapse

2017 ◽  
Vol 95 (1) ◽  
pp. 65-68 ◽  
Author(s):  
G. Abbas ◽  
Hassan Shah ◽  
Zahid Ahmad
Keyword(s):  
Thermal Behavior ◽  
Analytical Solutions ◽  
Adiabatic Index ◽  
Junction Conditions ◽  
Matter Distribution ◽  
Field Equations ◽  
Plane Symmetric ◽  
Symmetric Source ◽  
The Stability ◽  
Analytic Models

This paper deals with the analytical solutions of the field equations in the presence of radiating plane symmetric source. For this purpose we have solved the field equations as well as junction conditions by imposing the conformal flatness conditions. The effective adiabatic index (that determines the stability of the system) has been calculated for the present radiating source. It has been found that effective adiabatic index remains invariant throughout the matter distribution. To study the thermal behavior of the source, we have discussed the thermal profile of the source and found that in the absence of dissipation from the system the temperature of the system remains constant.

scholarly journals Junction Conditions in 2 + 1-Dimensional Gravity

1991 ◽  
Vol 86 (4) ◽  
pp. 841-852
Author(s):  
J. Soda ◽  
Y. Yamanaka ◽  
H. Ooguchi
Keyword(s):  
Junction Conditions ◽  
Dimensional Gravity

scholarly journals A note on the Penrose junction conditions

1999 ◽  
Vol 16 (4) ◽  
pp. 1255-1264 ◽  
Author(s):  
Michael Kunzinger ◽  
Roland Steinbauer
Keyword(s):  
Junction Conditions
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