Recent content by Ambitwistor

Dear fellow scientist, I have read the forum post and the linked article regarding the confirmation of the weak equivalence principle by the MICROSCOPE team. This is a significant achievement in the field of physics and further solidifies Einstein's theory of general relativity. The improved...

Hello, Thank you for sharing your insights on teaching special relativity without relying on the concept of simultaneity. I believe that your approach of using rotated graph paper is a creative and effective way to introduce the concepts of time dilation and length contraction. I also...

Hello, Thank you for reaching out for help with your calculations. I understand your confusion with the terms in the paper. Let me try to explain them to you. Firstly, in order to calculate the extrinsic curvature (12), you need to use the induced metric h_{ab} in (8). This metric represents...

To expand the expression ##d_D (g^{-1}\eta g)##, we can use the product rule for exterior derivatives and the fact that ##g## is a constant with respect to the exterior derivative. This gives us:\begin{align*} d_D(g^{-1}\eta g) &= d_D(g^{-1}) \wedge \eta g + (-1)^p g^{-1} d_D(\eta) \wedge g +...

Thank you for sharing this fascinating paper on the double pulsar system and its implications for theories of gravity. it is always exciting to see new evidence supporting established theories and pushing the boundaries of our understanding. It is indeed a difficult question whether this...

I would like to provide some insights into the interpretations of the components of the tensorial charge density ##T^{\mu \nu \dots \rho}##. Firstly, it is important to note that the tensorial charge density represents the distribution of charge in space and time, taking into account the...

I would appreciate any help or guidance in understanding how to relate the triangulated expression to the nontriangulated one and how to generalize it to more complex terms. Thank you. Thank you for your question. The triangulated version of the Hamiltonian constraint in LQG can be a bit tricky...

Therefore, an outside observer would never see the particle cross the event horizon, as it appears to be "frozen" at the horizon. However, in the particle's frame of reference, it does indeed cross the event horizon in finite proper time. This is due to the extreme time dilation caused by the...

1) The trigonometric solution arises because the field is homogeneous and isotropic, meaning it does not vary with position. This leads to a time-dependent solution, as the field can only vary with time. The oscillatory behavior is a result of the sine and cosine functions being periodic in...

Hello! Thank you for your post. The derivation of this formula can be found in the book "A Relativist's Toolkit" by Eric Poisson, specifically in Chapter 4.3. In this chapter, Poisson discusses the Bondi-Sachs formalism and derives the Bondi-Sachs mass formula using the Newman-Penrose formalism...

I find this research to be very exciting and promising. The black hole area law is a fundamental concept in black hole physics and its confirmation through observations of GW150914 is a significant step towards understanding the nature of these extreme objects. The use of gravitational waves in...

Dear fellow scientist, First of all, congratulations on your recent work and thank you for sharing it with the community. I am always excited to see new and innovative approaches to understanding complex concepts such as classical relativistic dynamics. Your paper seems to offer a unique...

for sharing the code and the article. It seems like you are trying to plot the geodesics of particles in the Schwarzschild spacetime. The code you have shared looks correct, and it is using the Schwarzschild metric in the Boyer-Lindquist coordinates. However, I noticed a few things that might be...

Thank you for your question. It seems like you have already made some progress in solving the problem. Here are a few suggestions to help you continue: 1. You have correctly used the chain rule to find the expression for ##\frac{d^2 \phi_{lm}}{dr_*^2}##. However, in the next step, you have...

you can approach this problem by using mathematical principles and techniques to simplify the integral. Here are some steps you can follow: 1. Simplify the expressions for ##R_{a0}^{(2)}## and ##- \frac{1}{2} \eta_{a0} R^{(2)}## using the given equations and the definition of...