WebMay 18, 2024 · It take the position in space (x,y,z) and returns a number (a scalar) 3xyz. A vector field takes a position in space in returns a vector, which should be thought of as pointing from that position. The gravitational force created by a body is a vector field, while the potential is a scalar field. WebApr 10, 2024 · We study the properties of spacelike singularities in spherically symmetric spacetimes obeying the Einstein equations, in the presence of matter. We consider in particular matter described by a scalar field, both in the presence of an electromagnetic field and without. We prove that if a spacelike singularity obeying several reasonable …
Exact black hole solutions with a conformally coupled scalar field …
WebSep 29, 2014 · The exterior derivative of a scalar is essentially its gradient. That is, d f = 0 f = d ϕ (Poincare lemma) ∇ × F = 0 F = ∇ Φ (gradient theorem converse). Share Cite Improve this answer Follow answered Sep 29, 2014 at 4:18 user10851 Plus every such potential function is scalar regardless if this is for gravity or not – Nikos M. WebScalar fields are thought to pervade the Universe and to give the particles of the Standard Model their masses. The yet undiscovered Higgs par ticles are the quanta of these scalar … pearl diver nashville yelp
classical mechanics - Why is the gravitational field potential scalar …
WebApr 4, 2024 · We build a self-consistent relativistic scalar theory of gravitation on a flat Minkowski spacetime from a general field Lagrangian. It is shown that, for parameters … In physics, scalar fields often describe the potential energy associated with a particular force. The force is a vector field, which can be obtained as a factor of the gradient of the potential energy scalar field. Examples include: • Potential fields, such as the Newtonian gravitational potential, or the electric potential in electrostatics, are scalar fields which describe the more familiar forces. WebApr 25, 2024 · The scalar field partakes the gravitational interactions with the graviton. The wave equation of the scalar field is found to be described by a new matter-wave equation proposed by Arbab [ 6, 7 ]. This is a quantum Telegraph equation whose classical analog governs the propagation of the electric signals in transmission lines. lightweight 44 watt de-icer