scholarly journals New reflections on higher dimensional linearized gravity

2019 ◽  
Vol 65 (5 Sept-Oct) ◽  
pp. 536
Author(s):  
C. García-Quintero ◽  
A. Ortiz ◽  
And J. A. Nieto
Keyword(s):  
Quantum Gravity ◽  
Cosmological Constant ◽  
De Sitter Space ◽  
Space Time ◽  
Graviton Mass ◽  
De Sitter ◽  
Linearized Gravity ◽  
Background Space ◽  
Higher Dimensional

We make a number of remarks on linearized gravity with cosmological constant in any dimension, which we argue, can be useful in a quantum gravity framework. For this purpose we assume that the background space-time metric corresponds to the de Sitter or anti-de Sitter space. Moreover, we make some interesting observations, putting special attention on the possible scenario of  a graviton-tachyon connection, via the graviton mass and the cosmological constant correspondence. We compare our proposed formalism with the Novello and Neves approach.

scholarly journals Instanton interaction in de Sitter space–time

2018 ◽  
Vol 33 (33) ◽  
pp. 1850200
Author(s):  
Dimitrios Metaxas
Keyword(s):  
Cosmological Constant ◽  
Decay Rate ◽  
De Sitter Space ◽  
Space Time ◽  
Tunneling Rate ◽  
Cosmological Horizon ◽  
De Sitter ◽  
Vacuum Decay ◽  
Background Space

Because of the presence of a cosmological horizon, the dilute instanton gas approximation used for the derivation of the Coleman–De Luccia tunneling rate in de Sitter space–time receives additional contributions due to the finite instanton separation. Here, I calculate the first corrections to the vacuum decay rate that arise from this effect and depend on the parameters of the theory and the cosmological constant of the background space–time.

scholarly journals Exact solutions to Einstein–Maxwell theory on Eguchi–Hanson space

2017 ◽  
Vol 32 (17) ◽  
pp. 1750098 ◽  
Author(s):  
A. M. Ghezelbash ◽  
V. Kumar
Keyword(s):  
Cosmological Constant ◽  
Exact Solutions ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Maxwell Theory ◽  
Analytical Functions ◽  
Higher Dimensional ◽  
All Solutions ◽  
Metric Functions

In this paper, we construct explicit analytical exact solutions to the six and higher-dimensional Einstein–Maxwell theory. In all solutions, a subspace of the metric is the Eguchi–Hanson space where the metric functions are completely determined in terms of known analytical functions. Moreover, we find the solutions can be extended from nonstationary exact solutions to Einstein–Maxwell theory with cosmological constant. We show that the solutions are asymptotically expanding patches of de Sitter space–time.

THERMODYNAMICS OF de SITTER SPACE–TIME IN YORK'S FORMALISM

2001 ◽  
Vol 16 (23) ◽  
pp. 1487-1492 ◽  
Author(s):  
BO-BO WANG ◽  
CHAO-GUANG HUANG
Keyword(s):  
Black Holes ◽  
Cosmological Constant ◽  
Path Integral ◽  
De Sitter Space ◽  
Space Time ◽  
Integral Approach ◽  
De Sitter ◽  
First Law Of Thermodynamics ◽  
Path Integral Approach ◽  
Thermodynamics Of Black Holes

The York's formalism of path-integral approach to the thermodynamics of black holes is applied to de Sitter space–time. The first law of thermodynamics for de Sitter space–time is given, which includes a "work term" with respect to the cosmological constant.

scholarly journals SPONTANEOUS DECAY OF THE EFFECTIVE COSMOLOGICAL CONSTANT

1998 ◽  
Vol 13 (07) ◽  
pp. 571-580 ◽  
Author(s):  
MURAT ÖZER ◽  
M. O. TAHA
Keyword(s):  
Cosmological Constant ◽  
De Sitter Space ◽  
Space Time ◽  
Time Dependent ◽  
Spontaneous Decay ◽  
Quantum Fields ◽  
De Sitter ◽  
Initial Value ◽  
Effective Time ◽  
Effective Cosmological Constant

We discuss the notion that quantum fields may induce an effective time-dependent cosmological constant which decays from a large initial value. It is shown that such cosmological models are viable in a non-de Sitter space–time.

Verifying the universe is another way to ds space-time

2021 ◽  
Author(s):  
Wen-Xiang Chen
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Cosmological Constant ◽  
Uncertainty Principle ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
The Given ◽  
The Universe

In this paper, it is explained that the role of the cosmological constant in the De Sitter space is similar to that of the preset boundary conditions in the superradiation phenomenon. In the previous literature, superradiance at a given boundary condition can cause the uncertainty principle to be less extreme, and so the uncertainty principle to be less extreme without the given boundary condition, might be one way to prove that the universe is ds spacetime.

scholarly journals SEPARABILITY OF GRAVITATIONAL PERTURBATION IN GENERALIZED KERR–NUT–DE SITTER SPACE–TIME

2010 ◽  
Vol 25 (15) ◽  
pp. 3055-3094 ◽  
Author(s):  
TAKESHI OOTA ◽  
YUKINORI YASUI
Keyword(s):  
Separation Of Variables ◽  
De Sitter Space ◽  
Space Time ◽  
Conformal Killing ◽  
Gravitational Perturbation ◽  
De Sitter ◽  
Gravitational Perturbations ◽  
Angular Momenta ◽  
Higher Dimensional ◽  
Rank 2

Generalized Kerr–NUT–de Sitter space–time is the most general space–time which admits a rank-2 closed conformal Killing–Yano tensor. It contains the higher-dimensional Kerr–de Sitter black holes with partially equal angular momenta. We study the separability of gravitational perturbations in the generalized Kerr–NUT–de Sitter space–time. We show that a certain type of tensor perturbations admits the separation of variables. The linearized perturbation equations for the Einstein condition are transformed into the ordinary differential equations of Fuchs type.

Fermion tunneling effect in Vaidya-de Sitter space

2010 ◽  
Vol 88 (4) ◽  
pp. 277-282 ◽  
Author(s):  
De-Jiang Qi ◽  
Wei-Min Wang ◽  
Shuang-Mei Li
Keyword(s):  
Black Hole ◽  
Energy Conservation ◽  
De Sitter Space ◽  
Space Time ◽  
Tunneling Probability ◽  
The Self ◽  
Tunneling Effect ◽  
De Sitter ◽  
Tunneling Method ◽  
Background Space

In this paper, by considering energy conservation and the self-gravitation reaction in the dynamical background space-time, we attempt to extend Kerner and Mann's work to the Vaidya–de Sitter black hole by the fermion-tunneling method. The result we derive shows that the tunneling probability of the Vaidya–de Sitter black hole is related not only to the change in the Bekenstein–Hawking entropy but also to the integral of the changing horizon, which are different from the stationary cases.

Quantum gravity effects on thermodynamics of de Sitter black holes in massive gravity

2020 ◽  
Vol 35 (19) ◽  
pp. 2050090 ◽  
Author(s):  
Yawar H. Khan ◽  
Prince A. Ganai
Keyword(s):  
Black Holes ◽  
Free Energy ◽  
Quantum Gravity ◽  
De Sitter Space ◽  
Thermodynamic System ◽  
Massive Gravity ◽  
Space Time ◽  
Thermodynamic Quantities ◽  
De Sitter ◽  
Gravity Effects

Taking de Sitter space–time as a thermodynamic system, we study the effects of quantum gravity on thermodynamic quantities of de Sitter black holes in massive gravity. We enumerate the leading order corrections arising in quantum gravity regime on various thermodynamic quantities like Helmholtz free energy, Gibbs free energy, specific heat and pressure. Our results show that quantum corrections have tendency to induce stability. Moreover we observe that the parameters from the massive gravity have deeper effect on the evolution of de Sitter space–time in quantum gravity regime. Such an analysis could be helpful in understanding inflation and evolution of universe at early times.

scholarly journals GRAVITATIONAL TRAPPING FOR EXTENDED EXTRA DIMENSION

2002 ◽  
Vol 11 (10) ◽  
pp. 1639-1642 ◽  
Author(s):  
MERAB GOGBERASHVILI
Keyword(s):  
Cosmological Constant ◽  
Extra Dimension ◽  
De Sitter Space ◽  
Space Time ◽  
De Sitter ◽  
Einstein’S Equations ◽  
Einstein's Equations ◽  
Newton's Law ◽  
Newton’S Law

The solution of Einstein's equations for 4-brane embedded in five-dimensional Anti-de Sitter space–time is found. It is shown that the cosmological constant can provide the existence of ordinary four-dimensional Newton's law and trapping of a matter on the brane.

scholarly journals On Gravitational Entropy of de Sitter Universe

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
S. C. Ulhoa ◽  
E. P. Spaniol
Keyword(s):  
Phase Transition ◽  
Cosmological Constant ◽  
De Sitter Space ◽  
Teleparallel Gravity ◽  
Space Time ◽  
Gravitational Energy ◽  
De Sitter ◽  
First Law Of Thermodynamics ◽  
Gravitational Entropy ◽  
De Sitter Universe

The paper deals with the calculation of the gravitational entropy in the context of teleparallel gravity for de Sitter space-time. In such a theory it is possible to define gravitational energy and pressure; thus we use those expressions to construct the gravitational entropy. We use the temperature as a function of the cosmological constant and write the first law of thermodynamics from which we obtain the entropy. In the limit Λ≪1 we find that the entropy is proportional to volume, for a specific temperature’s choice; we find that ΔS≥0 as well. We also identify a phase transition in de Sitter space-time by analyzing the specific heat.

Sign in / Sign up

Export Citation Format

Share Document