Student Talks on Trending Topics in Theory 2018 - Gravitational Radiation and Charge in de Sitter Spacetimes

Gravitational Radiation and Charge in de Sitter Spacetimes - Jahanur Hoque, Aneesh P B (CMI)

Lecture Notes:

References:

Lecture 1: Gravitational radiation and quadrupole formula in de Sitter.

1. Asymptotic directional structure of radiative fields in spacetimes with a cosmological constant, Pavel Krtous, Jiri Podolsky, arXiv:gr-qc/0502095.

2.Asymptotics with a positive cosmological constant: II. Linear fields on de Sitter space-time, Abhay Ashtekar, Beatrice Bonga, Aruna Kesavan,arXiv:gr-qc/1506.06152

3. Asymptotics with a positive cosmological constant: III. The quadrupole formula, Abhay Ashtekar, Beatrice Bonga, Aruna Kesavan, arXiv: gr-qc/1510.05593

4. Gravitational Waves from Compact Sources in de Sitter Background, Ghanashyam Date, Sk Jahanur Hoque, arXiv:gr-qc/1510.07856

5. On Propagation of Energy Flux in de Sitter Spacetime, Sk Jahnur Hoque, Amitabh Virmani, arXiv:gr-qc/1801.05640

Lecture 2: 3+1 decomposition and ADM formalism

1. Numerical Relativity: Solving Einstein's equation on the computer, T.W. Boumgarte, S.L. Shapiro.

2. A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics: Eric Poisson.

3. 3+1 formalism and bases of Numerical Relativity, Eric Gourgoulhon, arXiv:gr-qc/ 0703035

Lecture 3: Covariant phase space

1. Lee & Wald : "Local symmetries and constraints",Journal of Mathematical Physics 31, 725 (1990); https://doi.org/10.1063/1.528801

2. Diploma thesis of Sebastian Jäger : "Conserved quantities in asymptotically deSitter spacetimes"

3. Iyer & Wald : "Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy", arXiv : gr-qc/9403028

4. Wald and Zoupas : "A General Definition of “Conserved Quantities” in General Relativity and Other Theories of Gravity", arXiv: gr-qc/9911095

Lecture 4: Different notion of charges in de Sitter space-time

1. Marolf, Kelly : "Phase Spaces for asymptotically de Sitter Cosmologies", arXiv:1202.5347

2. Ashtekar, Kesavan, Bonga I : "Asymptotics with a positive cosmological constant: I. Basic framework", arXiv:1409.3816

3. Balasubramaniam & Kraus : "A Stress Tensor for Anti-de Sitter Gravity", arXiv:hep-th/9902121

4. Dionysios Anninos, Gim Seng Ng and Andrew Strominger : Asymptotic Symmetries and Charges in De Sitter Space“, arXiv:1009.4730

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