Articles for: gravity

Oppenheimer-Snyder Model of Gravitational Collapse: Implications
0 Comments
/
Part 1: OverviewPart 2: Mathematical DetailsPart 3: ImplicationsIn the last article in this series, we finished up with a metric for the Oppenheimer-Snyder…

The Oppenheimer-Snyder Model of Gravitational Collapse: An Overview
0 Comments
/
Part 1: OverviewPart 2: Mathematical DetailsPart 3: ImplicationsMost people who have spent any time at all studying GR are familiar with the…

Is Pressure A Source Of Gravity?
11 Comments
/
In a previous series of articles, I posed the question "Does Gravity Gravitate?" and explained how, depending on how you interpreted the terms "gravity"…

Slowly Lowering an Object in a Static, Spherically Symmetric Spacetime
0 Comments
/
In the first two articles in this series, we looked at the Einstein Field Equation and Maxwell's Equations in a static, spherically symmetric spacetime.…

Either the Sun Is Getting Smaller or Gravity Is Getting Weaker
36 Comments
/
Paper discussion: Solar system expansion and strong equivalence principle as seen by the NASA MESSENGER mission. Antonio Genova, Erwan Mazarico, Sander…

The Schwarzschild Geometry: Physically Reasonable?
33 Comments
/
In the last article, we looked at various counterintuitive features of the Schwarzschild spacetime geometry, as illustrated in the Kruskal-Szekeres…

The Schwarzschild Geometry: Spacetime Diagrams
12 Comments
/
When we left off in part 2, we were looking at the metric for the Schwarzschild geometry in Kruskal-Szekeres coordinates:$$
ds^2 = \frac{32…

The Schwarzschild Geometry: Coordinates
2 Comments
/
At the end of part 1, we looked at the form the metric of the Schwarzschild geometry takes in Gullstrand-Painleve coordinates:$$
ds^2…

The Schwarzschild Geometry: Key Properties
22 Comments
/
Not long after Einstein published his Field Equation, the first exact solution was found by Karl Schwarzschild. This solution is one of the…

Exploring General Relativity as a Gauge Theory
24 Comments
/
The fundamental interactions of the Standard Model are described by Yang-Mills theory. This is a gauge theory, which means the following: (1) Choose a…

Struggles with the Continuum: Spacetime Conclusion
4 Comments
/
We've been looking at how the continuum nature of spacetime poses problems for our favorite theories of physics --- problems with infinities.…

11d Gravity From Just the Torsion Constraint
17 Comments
/
It is familiar that Einstein gravity may be formulated in terms of a vielbein field together with a "spin connection", subject to the constraint…

Struggles with the Continuum: General Relativity
2 Comments
/
Combining electromagnetism with relativity and quantum mechanics led to QED. Last time we saw the immense struggles with the continuum this…

Struggles with the Continuum – Relativity and Quantum
5 Comments
/
In this series, we're looking at mathematical problems that arise in physics due to treating spacetime as a continuum---basically, problems…

Learn All About Earth’s Gravity
18 Comments
/
Earth's gravitational field at the surface is approximately 9.8 Newtons/kilogram, or equivalently, 9.8 meters/second/second. But how does that change due…

Does Gravity Gravitate: The Wave
17 Comments
/
In the first two posts in this series, we looked at different ways of interpreting the question "does gravity gravitate?" We left off at…

Does Gravity Gravitate? Part 2
30 Comments
/
In the first post of this series, I talked about two ways to answer the title question, one leading to the answer "no" and the other leading…

Does Gravity Gravitate?
9 Comments
/
The title question of this article is one that often comes up in PF threads, and I would like to give my take on it. This will be the first…

Learn Inflation Balloon Analogy Misconceptions
62 Comments
/
This article was written with considerable input from several senior members of the PF community.The Balloon Analogy is a simple-minded way to help…

Why Is Acceleration Due to Gravity a Constant?
5 Comments
/
This question has popped up many times. So here is an attempt to address it.To answer this question at the elementary level, a number of assumptions…

What Planck Length Is and It’s Common Misconceptions
29 Comments
/
The Planck length is an extremely small distance constructed from physical constants. There are a lot of misconceptions that generally overstate its physical…

Struggles With The Continuum: Quantum Mechanics of Charged Particles
39 Comments
/
Last time we saw that nobody yet knows if Newtonian gravity, applied to point particles, truly succeeds in predicting the future. To be precise:…

How Fast Do Changes in the Gravitational Field Propagate?
20 Comments
/
General relativity predicts that disturbances in the gravitational field propagate as gravitational waves, and that low-amplitude gravitational waves travel…

Understanding the General Relativity View of Gravity on Earth
102 Comments
/
Often students have difficulty reconciling the General Relativity (GR) view of gravity versus their own experience with gravity on the surface of Earth.…