[1] Abyssal hills, which are pervasive landforms on the seafloor of the Earth’s oceans, represent a potential tectonic record of the history of mid‐ocean ridge spreading. However, the most detailed global maps of the seafloor, derived from the satellite altimetry‐based gravity field, cannot be used to deterministically characterize such small‐scale (<10 km) morphology. Nevertheless, the small‐s...

The path-integral approach to quantum field theory assigns special importance to finite action Euclidean solutions of classical field equations. In Yang-Mills gauge theories, the instanton solutions of classical field equations with self-dual field strength have given rise to a new, nonperturbative treatment of the quantum field theory and its vacuum state. Since gravitation is also a species o...

ran 1974, Watts 1978). It is of great importance to estimate the thickness of the elastic layer on Venus. It is, however, A new method of obtaining the transfer function, or admittance, Z , between the Fourier transforms of topography and only straightforward to do so if its thickness is sufficiently gravity of a planet is proposed that uses the line of sight (LOS) large to affect the gravity f...

Different forms of fluctuations of the terrestrial gravity field are observed by gravity experiments. For example, atmospheric pressure fluctuations generate a gravity-noise foreground in measurements with super-conducting gravimeters. Gravity changes caused by high-magnitude earthquakes have been detected with the satellite gravity experiment GRACE, and we expect high-frequency terrestrial gra...

We study five-dimensional Einstein gravity coupled covariantly to 3-brane with induced gravity on the brane, and consider warped D=4 de Sitter background field solution on the brane. Following background field method we obtain the field equation described by the Lagrangean terms bilinear in quantized gravitational field. In such a free field approximation on curved background we calculate expli...

I discuss the relation between arbitrarily high-order theories of gravity and scalartensor gravity at the level of the field equations and the action. I show that (2n+4)-order gravity is dynamically equivalent to Brans-Dicke gravity with an interaction potential for the Brans-Dicke field and n further scalar fields. This scalar-tensor action is then conformally equivalent to the Einstein-Hilber...