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In this habilitation thesis we provide an introduction to gravitational models in two spacetime dimensions. Focus is put on exactly solvable models. We begin by introducing and motivating different possible gravitational actions, including those of generalized dilaton theories as well as of purely ...
Handbook of Geomathematics || Spacetime Modeling of the Earth's Gravity Field by Ellipsoidal Harmonics W Freeden,MZ Nashed,T Sonar 被引量: 0发表: 2010年 Detectability of variations in continental water storage from satellite observations of the time dependent gravity field Continental water storage ...
With the use of Einstein's theory of general relativity, gravitation is described in terms of the curved geometry of spacetime. The geometry of space and time, special relativity, and general relativity are considered. The origin, evolution, and large-scale structure of the universe are discussed...
A generalization of two recently proposed general relativity Hamiltonians, to the case of a general (d+1)-dimensional dilaton gravity theory in a manifold with a timelike or spacelike outer boundary, is presented.DOI: 10.1088/0264-9381/18/5/302 年份...
To visualize the space timeas a Riemannian manifold which can be stretched or twisted, and the formulation of gravity in terms ofcurvatures in this fabric of cosmos has changed the way we look at the structures in the universe. The ideaof gravity as a geometric property of spacetime was ...
4. 2 Stability of Minkowski spacetime In this section we take g¯μν = ημν. Let us write hμν in terms of its Fourier modes hμν (x) = d4q e−iqx h˜μν (q), C (4) where C stands for a contour of integration in the complex plane to be chosen. As we are ...
an electron, or the starshipEnterprise—enters such a region of distorted spacetime, its path will be different from what it would have been in the absence of the matter. As American physicist John Wheeler summarized it: “Matter tells spacetime how to curve; spacetime tells matter how to move...
In this work we explore the properties of the spacetime around the Schwarzschild-like black hole in the Starobinsky–Bel–Robinson gravity through a test particle motion and its quasi periodic oscillations (QPOs) in the circular orbits in the close vicinity of the black hole horizon. We show ...
The NEC, which is violated by the flaring-out condition through the Einstein field equations, is necessary for the wormhole spacetime to be traversable in GR, which in turn violates all of the energy conditions [9,10,11,12]. Violating the NEC acts as a source of exotic matter. Now there...