( x, y, z) in the aquifer, the density of water, g the acceleration due to gravity, K ( z) the hydraulic conductivity of the soil assumed to be a function of the height z above the impermeable floor, H the height of the free surface above the impermeable floor, and e ( x, y)...
The solution obtained includes the matter source, it exists for generic values of the theory parameters, and it describes a universe that can be spatially open, closed, or flat, and that shows the late-time acceleration due to the effective cosmological term mimicked by the graviton mass. The...
The last term in the gravity action (1) is introduced for completeness, with the proper acceleration ai = ∇i ln N [9].1 The equations from the variations of N , N i , and gi j are given by H ≡ 1 κ Kij Kij − λK2 −ξR +2 −σ 1 ∇i N ∇i N 2 N2 −...
The physical metric describes a universe with the late time acceleration due to the effective cosmological term mimicked by the graviton mass. When perturbed, this universe should rest approximately homogeneous and isotropic in space regions small compared to the graviton Compton length. In the limit...
A holographic visualization of the binary black holes (BBHs) space-time, due to the non vanishing torsion scalar field, has been given. The acceleration tensor of BBHs space-time has been calculated. The results identify the repulsive gravity zones of the BBHs field. The total conserved ...
where g is the value of acceleration due to gravity. This means that we deal with the plane Poiseuille flow. Figure 1 shows the chosen coordinate system and the flow geometry. Figure 1. Flow configuration. For such flow, we obviously have 𝑣1=𝑢,𝑣2=0,𝑣3=0,v1=u,v2=0,v3...
where 𝑔g represents the acceleration due to gravity, 𝜔ω denotes the Earth’s angular velocity, 𝜆∈[0,𝜋]λ∈[0,π] is the colatitude, and 𝑅R is the Earth’s radius. Moreover, the 𝑥x, 𝑦y, and z directions points south, east, and up, respectively. Moreover, assume...
The point mass is subjected to the tension force of the string and the action of gravity with acceleration g. The equation of motion of the system can be written as follows [23,24]: θ ¨ ( t ) + g L sin ( θ ( t ) ) = 0 (86) with initial conditions θ ( t 0 ) = ...
These simple heuristics led to rediscovering versions of the ideal gas law, Kepler’s third law of planetary motion, Coulomb’s law, Ohm’s law, and Galileo’s laws for the pendulum and constant acceleration. From then on, a diverse range of approaches has been developed within the field ...
These simple heuristics led to rediscovering versions of the ideal gas law, Kepler’s third law of planetary motion, Coulomb’s law, Ohm’s law, and Galileo’s laws for the pendulum and constant acceleration. From then on, a diverse range of approaches has been developed within the field ...