Recent content by jpescarcega

  1. J

    Relationship Between Spatial Expansion and Gravity's Force?

    Could you elaborate on being physically meaningless? Doesn't space have to expand at some specific rate, though? For example, one patch of space expands into three patches of space each second. Versus one patch of space expanding into two patches each second. The impacts in both scenarios are...
  2. J

    Relationship Between Spatial Expansion and Gravity's Force?

    I'm not so certain that specific quantities are needed. Expansion of space is accelerating, which is established through positive cosmological constant. At a certain moment in time, that space will be expanding at a certain speed. Acceleration and time multiplied together give a velocity.
  3. J

    Relationship Between Spatial Expansion and Gravity's Force?

    Schwarzschild DeSitter Space is the Schwarzschild Solution with a positive cosmological constant. The metric is the same as the Schwarzschild Metric.
  4. J

    Relationship Between Spatial Expansion and Gravity's Force?

    The gravitational field strength at that point, then, determines the rate of acceleration of expansion? Hopefully this rewording clears that up: by the "gravitational strength of a point" I mean the strength of the gravitational field at that point. While it's a measure of expansion, I'm not...
  5. J

    Relationship Between Spatial Expansion and Gravity's Force?

    The simplest solution I can think of to put this problem in is a Schwarzschild-DeSitter Solution, https://en.wikipedia.org/wiki/De_Sitter%E2%80%93Schwarzschild_metric. At a point in Schwarzschild-DeSitter space, at a certain moment, space is expanding at a speed. That point of space is subject...
  6. J

    Relationship Between Spatial Expansion and Gravity's Force?

    Fellow Nerds, I'm looking for a quantitative relationship between the gravitational strength of a point on a field and the speed of expansion of space at that point. Given a cosmological constant and a metric, is it possible to pinpoint a certain point of space and ask how quickly that space is...
  7. J

    Translational Motion Vs. Rotational Motion

    Howdy. It has become clear to me that translational motion is not taken into account in general relativity because it is subjective, and that rotational motion is taken into account in GR in places such as the Kerr Metric. What makes rotational motion so absolute? Couldn't an observer's...
  8. J

    Spacetime Curvature: Which Tensor Gives Coordinates?

    Oh ok that makes sense that the metric would be able to describe all geometric properties. Thank you. But, what I'm still wondering is whether or not the Ricci tensor is the right one for graphing the curve. What I mean by "graphing the curvature of spacetime", is plotting points of stressed...
  9. J

    Spacetime Curvature: Which Tensor Gives Coordinates?

    In the Einstein Field Equations: Rμν - 1/2gμνR + Λgμν = 8πG/c^4 × Tμν, which tensor will describe the coordinates for the curvature of spacetime? The equations above describe the curvature of spacetime as it relates to mass and energy, but if I were to want to graph the curvature of spacetime...
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