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4 votes
1 answer
197 views

Binary black hole merging condition

Assuming two black holes with the same rest mass $m$ collid coming from infinity with velocity $v$ and impact parameter $b$. Lets ignore spin at first. For which values of $v$ and $b$ would these ...
Okarin's user avatar
  • 41
0 votes
0 answers
49 views

How does the asymptotic metric fluctuation in $n \to m$ scattering relates to the soft factor in Weinberg's soft graviton theorem?

I'm reading arXiv: 1411.5745 [hep-th]. In Sec. 5, the authors show how the memory effect and Weinberg's soft graviton theorem are two faces of the same coin. I'm interested in understanding a specific ...
Níckolas Alves's user avatar
0 votes
0 answers
58 views

Making sense of Scattering of Impulsive Gravitational Waves

Consider the space-time diagram of KP-wave as shown below: We see that two transverse plane fronted GW waves intersect at the point ($u,v$)=(0,0). The curvature comes with a delta function, except in ...
paul230_x's user avatar
  • 1,752
0 votes
0 answers
127 views

What defines the gauge group for pure gravity?

Asymptotic symmetry of space-time corresponds to diffeomorphism transformation of physical space-time, which manifests as isometry near Conformal Boundary. Asymptotic symmetry can be defined using ...
paul230_x's user avatar
  • 1,752
2 votes
1 answer
103 views

Will two passing bricks in empty space induce rotation in one another?

Two identical rectangular bricks with mass $m$ pass each other anti-parallel in empty space with a constant velocity $v$. Say the smallest distance between them is $s$. Assume the bricks to be aligned ...
Gerald's user avatar
  • 500
-1 votes
1 answer
91 views

Point of no return with two nearly colliding black holes [duplicate]

Consider two black holes traveling near the speed of light towards each other. No rotation, charge or other complexities and they are of equal mass. They move at near the speed of light towards each ...
Dan Wood's user avatar
3 votes
0 answers
258 views

An equation satisfied by harmonic coordinates in a Schwarzschild spacetime

(Full disclosure, this is very much a "fish out of water" type situation: I'm working on something in an area very far away from the stuff I usually work with, so this is hopefully something ...
Rosa Luxemberg's user avatar
3 votes
0 answers
216 views

Scattering cross-section in Curved space-time

Consider the following two definitions for differential cross-section $\sigma(\theta,\phi)$ that one often encounters in classical mechanics and in non-relativistic quantum mechanics: $\textbf{...
paul230_x's user avatar
  • 1,752
3 votes
1 answer
228 views

In and out states of scattering in Asymptotically flat spacetimes

I am reading a paper called "New symmetries of massless QED", written by Temple He, Prahar Mitra, Achilleas P. Porfyriadis and Andrew Strominger (https://arxiv.org/abs/1407.3789). At some ...
schris38's user avatar
  • 3,992
2 votes
1 answer
90 views

Does frame dragging impart momentum?

Let's say a large object (think runaway planet) passed a much smaller one. The larger object's frame dragging distorts the space inhabited by the smaller object, so that it appears to briefly follow ...
Ben Warner's user avatar
0 votes
1 answer
122 views

Black Hole S-Matrix

I am reading arXiv:2006.03606 where through Eq. (1.1) they say that the transition amplitude for collapse of matter from initial state $\Psi_{i}$ into a black hole and eventually evaporation of black ...
self.grassmanian's user avatar
0 votes
1 answer
969 views

Relation of specific angular momentum $h$ with velocity and impact parameter for massive particle?

I am computing the path of an incoming massive (!!) particle with speed $v$ far from the black hole in the schwarzchild metric. To determine its path, i need to input the specific angular momentum ...
user11339690's user avatar
7 votes
1 answer
1k views

Feynman diagrams for gravity

Feynman rules are the basic tool to compute amplitudes in perturbation theory for a QFT. Here, I am trying to understand perturbation theory in GR around the flat space metric, in terms of Feynman ...
Tushar Gopalka's user avatar
13 votes
1 answer
576 views

Will a black hole cause scattering of a gravitational wave?

In my GR textbook, it states that gravitational waves can undergo interference but not scattering. I am just starting the chapter on linearised gravity concepts (weak field approximation) and my ...
user avatar
5 votes
0 answers
299 views

Calculating forces via Feynman diagrams?

How would one go about calculating forces that test objects feel using Feynman diagram methods? For example, say we have a massive object in GR so that the metric takes on the standard Schwarzschild ...
user26866's user avatar
  • 3,492

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