Comment on ‘‘New exact solution for the exterior gravitational field of a spinning mass’’

1991 ◽  
Vol 67 (8) ◽  
pp. 1050-1050 ◽  
Author(s):  
Hernando Quevedo
Keyword(s):  
Exact Solution ◽  
Gravitational Field

The exact solution of a two-level atom moving in a quantized travelling light field and a gravitational field

2001 ◽  
Vol 10 (10) ◽  
pp. 935-940
Author(s):  
Zou Xu-bo ◽  
Xu Jing-bo ◽  
Gao Xiao-chun ◽  
Fu Jian
Keyword(s):  
Exact Solution ◽  
Gravitational Field ◽  
Light Field ◽  
Level Atom

scholarly journals New solution generating algorithm for isotropic static Einstein-Gauss-Bonnet metrics

2021 ◽  
Vol 81 (12) ◽  
Author(s):  
Sunil D. Maharaj ◽  
Sudan Hansraj ◽  
Parbati Sahoo
Keyword(s):  
Differential Equation ◽  
Exact Solution ◽  
Gravitational Field ◽  
Stellar Structure ◽  
Physical Analysis ◽  
Elementary Functions ◽  
Gravitational Field Equation ◽  
New Exact Solutions ◽  
General Relativistic ◽  
Isotropy Condition

AbstractThe static isotropic gravitational field equation, governing the geometry and dynamics of stellar structure, is considered in Einstein–Gauss–Bonnet (EGB) gravity. This is a nonlinear Abelian differential equation which generalizes the simpler general relativistic pressure isotropy condition. A gravitational potential decomposition is postulated in order to generate new exact solutions from known solutions. The conditions for a successful integration are examined. Remarkably we generate a new exact solution to the Abelian equation from the well known Schwarzschild interior seed metric. The metric potentials are given in terms of elementary functions. A physical analysis of the model is performed in five and six spacetime dimensions. It is shown that the six-dimensional case is physically more reasonable and is consistent with the conditions restricting the physics of realistic stars.

Linearized Nonlocal Gravity

2017 ◽  
Author(s):  
Bahram Mashhoon
Keyword(s):  
Exact Solution ◽  
Dark Matter ◽  
Gravitational Field ◽  
Field Equation ◽  
Gravitational Lensing ◽  
Modified Gravity ◽  
Trivial Solution ◽  
Minkowski Spacetime ◽  
Linear Regime ◽  
Simple Generalization

The only known exact solution of the field equation of nonlocal gravity (NLG) is the trivial solution involving Minkowski spacetime that indicates the absence of a gravitational field. Therefore, this chapter is devoted to a thorough examination of NLG in the linear approximation beyond Minkowski spacetime. Moreover, the solutions of the linearized field equation of NLG are discussed in detail. We adopt the view that the kernel of the theory must be determined from observation. In the Newtonian regime of NLG, we recover the phenomenological Tohline-Kuhn approach to modified gravity. A simple generalization of the Kuhn kernel leads to a three-parameter modified Newtonian force law that is always attractive. Gravitational lensing is discussed. It is shown that nonlocal gravity (NLG), with a characteristic galactic lengthscale of order 1 kpc, simulates dark matter in the linear regime while preserving causality.

The First Solutions and the Challenge of Their Interpretation

2017 ◽  
Author(s):  
Hanoch Gutfreund ◽  
Jürgen Renn
Keyword(s):  
Exact Solution ◽  
Approximate Solution ◽  
Gravitational Field ◽  
Exact Solutions ◽  
De Sitter ◽  
Field Equations ◽  
Gravitational Field Equations ◽  
Nonlinear Character ◽  
Georges Lemaître

This chapter discusses the first wave of the exploration of exact solutions to Einstein's gravitational field equations. When Einstein published the final form of the field equations in 1915, only an approximate solution was known. Given the complicated nonlinear character of the field equations, he did not expect that exact solutions could easily be found. He was all the more surprised when the astronomer Karl Schwarzschild presented him with just such an exact solution. Thus, this chapter presents a series of these solutions, beginning with the work of Karl Schwarzschild, Johannes Droste, Willem de Sitter, Alexander Friedmann, Hans Reissner, Gunnar Nordström, and finally, Georges Lemaître.

Exact plane-wave solution of equations of gravitation theory with massive graviton

2021 ◽  
Vol 64 (1) ◽  
pp. 10-15
Author(s):  
A.A. Baiderin ◽  
◽  
I.P. Denisova ◽  
V.S. Rostovsky ◽  
◽  
...  
Keyword(s):  
Exact Solution ◽  
Gravitational Field ◽  
Plane Wave ◽  
Wave Solution ◽  
Jacobi Method ◽  
Scalar Wave ◽  
Massive Graviton ◽  
Plane Wave Solution ◽  
Solution Of Equations ◽  
Theory Of Gravitation

The theory of gravitation with a massive graviton, which was proposed by Visser, is considered. The exact solution of this theory is found when the source of the gravitational field is plane scalar wave. The Hamilton-Jacobi method obtained the laws of motion of massive and massless particles in this gravitational field.

scholarly journals TACHYON MONOPOLE

2005 ◽  
Vol 20 (23) ◽  
pp. 5491-5499 ◽  
Author(s):  
XIN-ZHOU LI ◽  
DAO-JUN LIU
Keyword(s):  
Exact Solution ◽  
Approximate Solution ◽  
Gravitational Field ◽  
Flat Space ◽  
Space Time ◽  
Global Monopole ◽  
Tachyon Field ◽  
Field Equations ◽  
Monopole Solution ◽  
Static Space

The property and gravitational field of global monopole of tachyon are investigated in a four-dimensional static space–time. We give an exact solution of the tachyon field in the flat space–time background. Using the linearized approximation of gravity, we get the approximate solution of the metric. We also solve analytically the coupled Einstein and tachyon field equations which is beyond the linearized approximation to determine the gravitational properties of the monopole solution. We find that the metric of tachyon monopole represents an asymptotically AdS space–time with a small effective mass at the origin. We show that this relatively tiny mass is actually negative, as it is in the case of ordinary scalar field.

New Exact Solution for the Gravitational Field of a Spinning Mass

1972 ◽  
Vol 29 (19) ◽  
pp. 1344-1345 ◽  
Author(s):  
Akira Tomimatsu ◽  
Humitaka Sato
Keyword(s):  
Exact Solution ◽  
Gravitational Field
Sign in / Sign up

Export Citation Format

Share Document