General Relativity

All posts under tag "General Relativity"

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Neutrino spin oscillations in gravitational fields

Neutrino spin oscillations in gravitational fields

๋ณธ ๋…ผ๋ฌธ์€ ์ค‘์„ฑ๋ฏธ์ž์˜ ์Šคํ•€ ์ง„๋™ ํ˜„์ƒ์„ ๋‹ค์–‘ํ•œ ์ค‘๋ ฅ์žฅ ์กฐ๊ฑด ํ•˜์—์„œ ์—ฐ๊ตฌํ•œ ๊ฒฐ๊ณผ๋ฅผ ๋ณด๊ณ ํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. ํŠนํžˆ, ๋ฆฌ์Šค๋„ˆ ๋…ธ๋“œ์ŠคํŠธ๋กฌ(RN) ๋ฐ ์ผ€๋ฅด ๋ฐฐ๊ฒฝ์ด๋ผ๋Š” ๋‘ ๊ฐ€์ง€ ์ฃผ์š” ์ค‘๋ ฅ์žฅ ๋ชจ๋ธ์„ ์‚ฌ์šฉํ•˜์—ฌ ์ค‘์„ฑ๋ฏธ์ž ์Šคํ•€ ์ง„๋™์˜ ํŠน์„ฑ์„ ๋ถ„์„ํ•˜์˜€์Šต๋‹ˆ๋‹ค. 1. ์ค‘์„ฑ๋ฏธ์ž์˜ ์ค‘์š”์„ฑ ์ค‘์„ฑ๋ฏธ์ž๋Š” ์ž…์ž ๋ฌผ๋ฆฌํ•™, ์šฐ์ฃผ๋ก , ์ฒœ์ฒด๋ฌผ๋ฆฌํ•™ ๋“ฑ ๋‹ค์–‘ํ•œ ๋ถ„์•ผ์—์„œ ์ค‘์š”ํ•œ ์—ญํ• ์„ ํ•ฉ๋‹ˆ๋‹ค. ํŠนํžˆ, ์ค‘์„ฑ๋ฏธ์ž์˜ ์ง„๋™ ํ˜„์ƒ์€ ํƒœ์–‘ ์ค‘์„ฑ๋ฏธ์ž์™€ ๋Œ€๊ธฐ ์ค‘์„ฑ๋ฏธ์ž ๋ฌธ์ œ๋ฅผ ์„ค๋ช…ํ•˜๋Š” ๋ฐ ์‚ฌ์šฉ๋˜๋ฉฐ, ์ด๋Š” ํ‘œ์ค€ ๋ชจํ˜• ์ด์™ธ์˜ ๋ฌผ๋ฆฌํ•™์  ํ˜„์ƒ์„ ์ดํ•ดํ•˜๋Š” ์ฒซ๊ฑธ์Œ์ด ๋ฉ๋‹ˆ๋‹ค. 2. ๋ฆฌ์Šค๋„ˆ ๋…ธ๋“œ์ŠคํŠธ๋กฌ(RN) ๋ฐฐ๊ฒฝ

HEP-TH General Relativity Astrophysics HEP-PH
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Wormhole geometries in modified gravity

1. ์—ฌํ–‰ ๊ฐ€๋Šฅํ•œ ์›œํ™€์˜ ๊ธฐํ•˜ํ•™์  ํŠน์„ฑ ์—ฌํ–‰ ๊ฐ€๋Šฅํ•œ ์›œํ™€์€ ์‹œ๊ณต๊ฐ„ ํ„ฐ๋„๋กœ, ์ด๋Š” ๋‹ค์Œ๊ณผ ๊ฐ™์€ ๋ฆฌ๋งŒ ๊ธฐํ•˜ํ•™์—์„œ ์ •์˜๋œ๋‹ค: $$ds^2 e^{2โ€ฉhi(r)} dt^2 + (1 b(r)r)^{ 1} dr^2.$$ ์—ฌ๊ธฐ์„œ $โ€ฉhi(r)$์™€ $b(r)$๋Š” ์ ๋ถ„ ์ขŒํ‘œ $r$์— ๋Œ€ํ•œ ์ž„์˜์˜ ํ•จ์ˆ˜๋กœ, ๊ฐ๊ฐ ์ ์ƒ‰ ํŽธ์ด ํ•จ์ˆ˜์™€ ๋ชจ์–‘ ํ•จ์ˆ˜๋ฅผ ๋‚˜ํƒ€๋‚ธ๋‹ค. ์›œํ™€์ด ์—ฌํ–‰ ๊ฐ€๋Šฅํ•˜๋ ค๋ฉด ์ง€ํ‰์„  ์—†์ด ์กด์žฌํ•ด์•ผ ํ•˜๋ฏ€๋กœ, $e^{2โ€ฉhi} eq 0$์ธ ํ‘œ๋ฉด์ด ์กด์žฌํ•˜์ง€ ์•Š์•„์•ผ ํ•œ๋‹ค. ์ฆ‰, $โ€ฉhi(r)$๋Š” ๋ชจ๋“  ๊ณณ์—์„œ ์œ ํ•œํ•ด์•ผ ํ•œ๋‹ค. ๋˜ํ•œ, ์‹œ๊ฐ„ ์ขŒํ‘œ $t$๊ฐ€

General Relativity Astrophysics HEP-TH
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Magnetosphere of a spinning string

๋ณธ ๋…ผ๋ฌธ์€ ํšŒ์ „ํ•˜๋Š” ๋ฌธ์ž์—ด ์ฃผ๋ณ€์˜ ์ „๊ธฐ ๋ฐ ์ž๊ธฐ์žฅ ๊ตฌ์กฐ๋ฅผ ๋ถ„์„ํ•˜์—ฌ ํ™œ์„ฑ ์€ํ•˜ ์ค‘์‹ฌ์—์„œ ๊ด€์ฐฐ๋˜๋Š” ์ œํŠธ ๊ตฌ์กฐ์™€ ์œ ์‚ฌํ•œ ๋ชจ๋ธ์„ ์ œ์‹œํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. ์ด ์—ฐ๊ตฌ๋Š” ์ผ€๋ฅด ๋ธ”๋ž™ํ™€๊ณผ ์™ธ๋ถ€ ์ž๊ธฐ์žฅ์ด ์ƒํ˜ธ์ž‘์šฉํ•  ๋•Œ ๋ฐœ์ƒํ•˜๋Š” ๋ณต์žกํ•œ ํ˜„์ƒ์„ ๊ฐ„๋‹จํžˆ ์„ค๋ช…ํ•  ์ˆ˜ ์žˆ๋Š” ๊ฐ€๋Šฅ์„ฑ์„ ์ œ์‹œํ•˜๋ฉฐ, ํ™œ์„ฑ ์€ํ•˜ ์ค‘์‹ฌ์—์„œ ๋ฐœ์ƒํ•˜๋Š” ์ •๋ ฌ๋œ ์ œํŠธ์˜ ๋ฌผ๋ฆฌ์  ๊ธฐ์›์„ ์ดํ•ดํ•˜๋Š”๋ฐ ์ค‘์š”ํ•œ ๋‹จ์„œ๋ฅผ ์ œ๊ณตํ•ฉ๋‹ˆ๋‹ค. 1. ํšŒ์ „ํ•˜๋Š” ๋ฌธ์ž์—ด์˜ ๋ฐฐ๊ฒฝ ๋ฏธ๋ถ„๋ฐฉ์ •์‹ ๋…ผ๋ฌธ์€ ํšŒ์ „ํ•˜๋Š” ๋ฌธ์ž์—ด ์ฃผ๋ณ€์˜ ์ „๊ธฐ ๋ฐ ์ž๊ธฐ์žฅ ๊ตฌ์กฐ๋ฅผ ๋ถ„์„ํ•˜๊ธฐ ์œ„ํ•ด, ํšŒ์ „ํ•˜๋Š” ๋ฌธ์ž์—ด์˜ ๋ฐฐ๊ฒฝ ๋ฏธ๋ถ„๋ฐฉ์ •์‹์„ ์ •ํ™•ํ•˜๊ฒŒ ํ’€ ์ˆ˜ ์žˆ์Œ์„ ๊ด€์ฐฐํ•ฉ๋‹ˆ๋‹ค.

General Relativity Astrophysics
Can Mathisson-Papapetrou equations give clue to some problems in   astrophysics?

Can Mathisson-Papapetrou equations give clue to some problems in astrophysics?

๋งค๋ ฅ์ ์ธ ํ•œ๊ธ€ ์ œ๋ชฉ: ํŽ˜๋ฅด๋ฏธ ์šด์†ก๊ณผ ๋งˆ์‹œ๋ชฌ ํŒŒํŒŒํŽ˜ํŠธ๋กœ ๋ฐฉ์ •์‹: ์ฒœ์ฒด๋ฌผ๋ฆฌํ•™์  ํ•จ์˜ ์ดˆ๋ก ์ „์ฒด ๋ฒˆ์—ญ ๋ฐ ์ •๋ฆฌ: ๋ณธ ๋…ผ๋ฌธ์€ Mathisson Papapetrou (MPD) ๋ฐฉ์ •์‹์ด ํšŒ์ „ํ•˜๋Š” ์ž…์ž์˜ ์ผ๋ฐ˜ ์ƒ๋Œ€์„ฑ ์ด๋ก ์  ์šด๋™์„ ์„ค๋ช…ํ•˜๋ฉฐ, ํŠนํžˆ ๊ณ ์†์œผ๋กœ ํšŒ์ „ํ•˜๋Š” ์ž…์ž์—์„œ ๋‚˜ํƒ€๋‚˜๋Š” ๊ฐ•ํ•œ ํ•ญ์ค‘๋ ฅ ํšจ๊ณผ๋ฅผ ๋ถ„์„ํ•ฉ๋‹ˆ๋‹ค. ์ด๋Ÿฌํ•œ ํŠน์„ฑ์ด ์ฒœ์ฒด๋ฌผ๋ฆฌํ•™์  ํ˜„์ƒ, ์˜ˆ๋ฅผ ๋“ค์–ด OPERA ์‹คํ—˜ ๊ฒฐ๊ณผ์™€ ์—ฐ๊ด€๋  ์ˆ˜ ์žˆ๋‹ค๋Š” ๊ฐ€๋Šฅ์„ฑ์„ ์ œ์•ˆํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. ๋…ผ๋ฌธ์€ MPD ๋ฐฉ์ •์‹์ด ์ผ๋ฐ˜ ์ƒ๋Œ€์„ฑ ์ด๋ก ์  ๋””๋ž™ ๋ฐฉ์ •์‹์˜ ๊ณ ์ „์  ๊ทผ์‚ฌ์น˜์ž„์„ ๊ฐ•์กฐํ•˜๋ฉฐ, ํŽ˜๋ฅด๋ฏธ ์šด๋ฐ˜ ๊ฐœ๋…์„ ํ†ตํ•ด ์ •ํ™•ํ•œ ์ผ

HEP-TH General Relativity Astrophysics
Numerical simulations of relativistic magnetic reconnection with   Galerkin methods

Numerical simulations of relativistic magnetic reconnection with Galerkin methods

) ๋ณธ ๋…ผ๋ฌธ์€ ์ƒ๋Œ€๋ก ์  ์ž๊ธฐ ์žฌ๊ฒฐํ•ฉ ๊ณผ์ •์˜ ์ˆ˜์น˜ ์‹œ๋ฎฌ๋ ˆ์ด์…˜์— ๋Œ€ํ•œ ๊นŠ์ด ์žˆ๋Š” ์—ฐ๊ตฌ๋ฅผ ์ œ๊ณตํ•œ๋‹ค. ์ด๋Š” ์ฒœ์ฒด๋ฌผ๋ฆฌํ•™์—์„œ ์ค‘์š”ํ•œ ์—ญํ• ์„ ํ•˜๋Š” ๊ณ ์—๋„ˆ์ง€ ํ˜„์ƒ ์ค‘ ํ•˜๋‚˜๋กœ, ํŠนํžˆ ํŽ„์‚ฌ์˜ ์ž๊ธฐ๊ถŒ, ๊ฐ๋งˆ์„  ํญ๋ฐœ์„ฑ ์ œํŠธ ๋“ฑ ๋‹ค์–‘ํ•œ ์ฒœ์ฒด์—์„œ ๊ด€์ฐฐ๋œ๋‹ค. 1. ์ƒ๋Œ€๋ก ์  ์ž๊ธฐ ์žฌ๊ฒฐํ•ฉ์˜ ์ค‘์š”์„ฑ ์ƒ๋Œ€๋ก ์  ์ž๊ธฐ ์žฌ๊ฒฐํ•ฉ์€ ํ”Œ๋ผ์ฆˆ๋งˆ ๋‚ด๋ถ€์— ์ €์žฅ๋œ ์ž๊ธฐ ์—๋„ˆ์ง€๋ฅผ ์—ด๊ณผ ์šด๋™ ์—๋„ˆ์ง€๋กœ ๋ณ€ํ™˜ํ•˜๋Š” ๊ณผ์ •์ด๋‹ค. ์ด ๊ณผ์ •์€ ๋งค์šฐ ๋น ๋ฅด๊ฒŒ ์ง„ํ–‰๋˜๋ฉฐ, ์ฒœ์ฒด๋ฌผ๋ฆฌํ•™์—์„œ ์ค‘์š”ํ•œ ์—ญํ• ์„ ํ•˜๋Š” ๊ณ ์—๋„ˆ์ง€ ํ˜„์ƒ ์ค‘ ํ•˜๋‚˜๋‹ค. ์ดˆ๊ธฐ์—๋Š” ์ƒ๋Œ€๋ก ์  Petschek ์žฌ๊ฒฐํ•ฉ์ด ์ง์ ‘์ ์œผ๋กœ ์ž๊ธฐ ์—๋„ˆ์ง€๋ฅผ ํ”Œ๋ผ์ฆˆ

General Relativity Astrophysics
Two temperature accretion flows around rotating black holes and   determining the kerr parameter of sources

Two temperature accretion flows around rotating black holes and determining the kerr parameter of sources

์ด ๋…ผ๋ฌธ์€ ํšŒ์ „ํ•˜๋Š” ๋ธ”๋ž™ํ™€ ์ฃผ๋ณ€์—์„œ ๋ฐœ์ƒํ•˜๋Š” ๋‘ ์˜จ๋„ ์ถ•์  ํ๋ฆ„์„ ์—ฐ๊ตฌํ•˜๊ณ , ์ด๋ฅผ ํ†ตํ•ด ๋‹ค์–‘ํ•œ ์ฒœ์ฒด ํ˜„์ƒ์„ ์„ค๋ช…ํ•˜๋ ค๋Š” ๋ชฉํ‘œ๋ฅผ ๊ฐ€์ง€๊ณ  ์žˆ๋‹ค. ํŠนํžˆ, Cyg X 1๊ณผ ๊ฐ™์€ ์ €์˜จ ๊ณ ์ฒด ์ƒํƒœ๋ฅผ ๊ฐ€์ง„ ์ฒœ์ฒด์˜ ํŠน์„ฑ์„ ๋‹จ์ˆœํ•œ ์ผ€ํ”Œ๋Ÿฌ์  ์ถ•์  ์›๋ฐ˜ ๋ชจ๋ธ๋กœ๋Š” ์„ค๋ช…ํ•˜๊ธฐ ์–ด๋ ต๋‹ค๋Š” ์ ์„ ๊ฐ•์กฐํ•˜๋ฉฐ, ์ด๋ฅผ ํ•ด๊ฒฐํ•˜๊ธฐ ์œ„ํ•ด ๋‘ ์˜จ๋„ ํ๋ฆ„ ๋ชจ๋ธ์„ ์ œ์‹œํ•œ๋‹ค. 1. ๊ธฐ์กด ์—ฐ๊ตฌ์˜ ํ•œ๊ณ„์™€ ์ƒˆ๋กœ์šด ์ ‘๊ทผ ๋ฐฉ์‹ ๊ธฐ์กด ์—ฐ๊ตฌ์—์„œ๋Š” Cyg X 1๊ณผ ๊ฐ™์€ ์ฒœ์ฒด์˜ ์ €์˜จ ๊ณ ์ฒด ์ƒํƒœ๋ฅผ ๋‹จ์ˆœํ•œ ์ผ€ํ”Œ๋Ÿฌ์  ์ถ•์  ์›๋ฐ˜ ๋ชจ๋ธ๋กœ๋Š” ์„ค๋ช…ํ•˜๊ธฐ ์–ด๋ ค์› ๋‹ค. ์ด๋ฅผ ํ•ด๊ฒฐํ•˜๊ธฐ ์œ„ํ•ด Eardley, Lightma

General Relativity Astrophysics
Electrostatic accelerometer with bias rejection for deep space   gravitation tests

Electrostatic accelerometer with bias rejection for deep space gravitation tests

์ด ๋…ผ๋ฌธ์€ ์šฐ์ฃผ ์ค‘๋ ฅ ์‹คํ—˜์„ ์œ„ํ•œ ๊ณ ๋„๋กœ ์ •๊ตํ•œ ์ „๊ธฐ ๊ฐ€์†๋„๊ณ„์ธ ๋ฏธํฌ๋กœ์Šคํƒ€๋ฅด(MicroSTAR)์™€ ๋ฐ”์ด์–ด์Šค ์žฌ๊ฑฐ์ ˆ ์‹œ์Šคํ…œ์— ๋Œ€ํ•œ ์‹ฌ์ธต ๋ถ„์„์„ ์ œ๊ณตํ•ฉ๋‹ˆ๋‹ค. ์ด ์—ฐ๊ตฌ๋Š” ์šฐ์ฃผ์—์„œ์˜ ๋น„์ค‘๋ ฅ ํ™˜๊ฒฝ์—์„œ ๋ฐœ์ƒํ•˜๋Š” ๊ทนํžˆ ๋ฏธ์„ธํ•œ ๊ฐ€์†๋„๋ฅผ ์ธก์ •ํ•˜๊ธฐ ์œ„ํ•œ ์ƒˆ๋กœ์šด ์ ‘๊ทผ ๋ฐฉ์‹์„ ์ œ์‹œํ•˜๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. 1. ๋ฏธํฌ๋กœ์Šคํƒ€๋ฅด(MicroSTAR)์™€ ๋ฐ”์ด์–ด์Šค ์žฌ๊ฑฐ์ ˆ ์‹œ์Šคํ…œ ๋ฏธํฌ๋กœ์Šคํƒ€๋ฅด : ์ด๋Š” ์ „ํ•˜ ๊ฐ€์†๋„๊ณ„๋กœ, Onera์—์„œ ๊ฐœ๋ฐœ๋œ ์˜จ๋ผ ๊ธฐ์ˆ ์„ ํ™œ์šฉํ•˜์—ฌ ์œ„์„ฑ์˜ ๋น„์ค‘๋ ฅ ํ™˜๊ฒฝ์—์„œ ๋ฐœ์ƒํ•˜๋Š” ๊ทนํžˆ ๋ฏธ์„ธํ•œ ๊ฐ€์†๋„๋ฅผ ์ธก์ •ํ•ฉ๋‹ˆ๋‹ค. ์ธก์ • ๋…ธ์ด์ฆˆ๋Š” 1.8 ร— 10^ 4 mยทs^ 2 ๋ฒ”

General Relativity Physics
Introduction to Bronsteins 'Quantum theory of weak gravitational   fields'

Introduction to Bronsteins 'Quantum theory of weak gravitational fields'

๋ธŒ๋ก ์Šˆํƒ€์ธ์˜ ๋…ผ๋ฌธ์€ 1935๋…„์ด๋ผ๋Š” ์‹œ๋Œ€์  ๋ฐฐ๊ฒฝ์—์„œ ์ค‘์š”ํ•œ ์˜๋ฏธ๋ฅผ ์ง€๋‹ˆ๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. ์ด ์‹œ๊ธฐ์—๋Š” ํ˜„๋Œ€์ ์ธ ์–‘์ž์žฅ ์ด๋ก ์ด ์•„์ง ์ดˆ๊ธฐ ๋‹จ๊ณ„์— ์žˆ์—ˆ์œผ๋ฉฐ, ๋ธŒ๋ก ์Šˆํƒ€์ธ์˜ ์—ฐ๊ตฌ๋Š” ์ด๋Ÿฌํ•œ ๋งฅ๋ฝ์—์„œ ๋งค์šฐ ํ˜์‹ ์ ์ด์—ˆ์Šต๋‹ˆ๋‹ค. ๊ทธ์˜ ์ž‘์—…์€ ๋กœ์  ํŽ ๋“œ(L. Rosenfeld)์˜ ๋…ผ๋ฌธ ์ดํ›„ ๋‘ ๋ฒˆ์งธ๋กœ ์–‘์žํ™”๋œ ์ค‘๋ ฅ(์„ ํ˜•ํ™”๋œ ์ค‘๋ ฅ)์— ๋Œ€ํ•œ ์—ฐ๊ตฌ์˜€์œผ๋ฉฐ, ์ด๋Š” ๋‹น์‹œ์˜ ๋ฌผ๋ฆฌํ•™์  ์ƒํ™ฉ์„ ๋ฐ˜์˜ํ•˜๊ณ  ์žˆ์—ˆ์Šต๋‹ˆ๋‹ค. ๋ธŒ๋ก ์Šˆํƒ€์ธ์˜ ์—ฐ๊ตฌ๋Š” ํ‰ํ‰ํ•œ ์‹œ๊ณต์—์„œ ์งˆ๋Ÿ‰ ์—†๋Š” ์Šคํ•€ 2 ํ•„๋“œ์˜ ๋‘ ๋ฒˆ์งธ ์–‘์žํ™”๋ฅผ ๋‹ค๋ฃจ๊ณ  ์žˆ์Šต๋‹ˆ๋‹ค. ์ด๋Ÿฌํ•œ ์ ‘๊ทผ ๋ฐฉ์‹์€ ์ œ๋กœ ํฌ์ธํŠธ ์—๋„ˆ์ง€๋ฅผ ํ”ผํ•˜๊ธฐ ์œ„ํ•œ ์ ์ ˆํ•œ

General Relativity Physics
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Next-to-next-to-leading order post-Newtonian spin(1)-spin(2) Hamiltonian for self-gravitating binaries

: ๋ณธ ๋…ผ๋ฌธ์€ ๊ณ ์† ์ž์ „ํ•˜๋Š” ๋ฐ€๋„ ๋†’์€ ๋ฌผ์ฒด ๊ฐ„์˜ ์ƒํ˜ธ์ž‘์šฉ์— ๋Œ€ํ•œ ํฌ์ŠคํŠธ๋‰ดํ„ด(PN) ์Šคํ•€(1) ์Šคํ•€(2) ํ•ด๋ฐ€ํ† ๋‹ˆ์•ˆ์„ ์œ ๋„ํ•˜๊ณ  ๋ถ„์„ํ•ฉ๋‹ˆ๋‹ค. ์ด ์—ฐ๊ตฌ๋Š” ์ผ๋ฐ˜ ์ƒ๋Œ€์„ฑ ์ด๋ก ์—์„œ ๋‘ ๋ฌผ์ฒด๊ฐ€ ๊ณ ์†์œผ๋กœ ํšŒ์ „ํ•  ๋•Œ์˜ ๋™์—ญํ•™์  ํ–‰๋™์„ ์ดํ•ดํ•˜๋Š” ๋ฐ ์ค‘์š”ํ•œ ์—ญํ• ์„ ํ•ฉ๋‹ˆ๋‹ค. 1. ์—ฐ๊ตฌ ๋ฐฐ๊ฒฝ ๋ฐ ๋ชฉ์  ๋ณธ ๋…ผ๋ฌธ์€ ๊ธฐ์กด์˜ ์Šคํ•€ ์ƒํ˜ธ์ž‘์šฉ์— ๋Œ€ํ•œ ์—ฐ๊ตฌ๋ฅผ ํ™•์žฅํ•˜๊ณ , ํŠนํžˆ 4PN ์ˆœ์„œ๊นŒ์ง€ ๊ณ„์‚ฐ๋œ ํ•ด๋ฐ€ํ† ๋‹ˆ์•ˆ์„ ์ œ์‹œํ•ฉ๋‹ˆ๋‹ค. ์ด๋Š” ๋‘ ๋ฌผ์ฒด๊ฐ€ ๊ณ ์†์œผ๋กœ ํšŒ์ „ํ•˜๋Š” ๊ฒฝ์šฐ์— ์ ์šฉ๋˜๋ฉฐ, ์ผ๋ฐ˜ ์ƒ๋Œ€์„ฑ ์ด๋ก ์—์„œ์˜ ๊ทผ์‚ฌ์น˜์ธ ํฌ์ŠคํŠธ๋‰ดํ„ด(PN) ์ ‘๊ทผ๋ฒ•์„ ์‚ฌ์šฉํ•˜์—ฌ ์œ ๋„๋ฉ๋‹ˆ๋‹ค. 2. ์—ฐ๊ตฌ ๋ฐฉ

HEP-TH General Relativity Astrophysics

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