r t ss r r str t ss
play

r t ssr - PowerPoint PPT Presentation

r t ssr rstr tss t rtt


  1. ❚❤❡r♠♦❞②♥❛♠✐❝ ❙t✉❞② ♦❢ ❘❡✐ss♥❡r − ◆♦r❞strö♠ ◗✉✐♥t❡ss❡♥❝❡ ❇❧❛❝❦ ❍♦❧❡ ❜② ❆❜❤✐❥✐t ▼❛♥❞❛❧ ❉❡♣❛rt♠❡♥t ♦❢ ▼❛t❤❡♠❛t✐❝s ❏❛❞❛✈♣✉r ❯♥✐✈❡rs✐t②✱ ❑♦❧❦❛t❛✱ ■♥❞✐❛ ▼P❍❨❙✶✵ ✶✵t❤ ❙❡♣t❡♠❜❡r✱ ✷✵✶✾

  2. ■♥tr♦❞✉❝t✐♦♥ ❚❤❡r♠♦❞②♥❛♠✐❝ ◗✉❛♥t✐t✐❡s ❈r✐t✐❝❛❧ P❤❡♥♦♠❡♥❛ ❉✐s❝✉ss✐♦♥s ❚❤❡r♠♦❞②♥❛♠✐❝ ❙t✉❞② ♦❢ ❘❡✐ss♥❡r − ◆♦r❞strö♠ ◗✉✐♥t❡ss❡♥❝❡ ❇❧❛❝❦ ❍♦❧❡ ❜② ❆❜❤✐❥✐t ▼❛♥❞❛❧ ❉❡♣❛rt♠❡♥t ♦❢ ▼❛t❤❡♠❛t✐❝s ❏❛❞❛✈♣✉r ❯♥✐✈❡rs✐t②✱ ❑♦❧❦❛t❛✱ ■♥❞✐❛ ▼P❍❨❙✶✵ ✶✵t❤ ❙❡♣t❡♠❜❡r✱ ✷✵✶✾ ❚❤❡r♠♦❞②♥❛♠✐❝ ❙t✉❞② ♦❢ ❘❡✐ss♥❡r − ◆♦r❞strö♠ ◗✉✐♥t❡ss❡♥❝❡ ❇❧❛❝❦ ❍♦❧❡ ✷

  3. ■♥tr♦❞✉❝t✐♦♥ ❚❤❡r♠♦❞②♥❛♠✐❝ ◗✉❛♥t✐t✐❡s ❈r✐t✐❝❛❧ P❤❡♥♦♠❡♥❛ ❉✐s❝✉ss✐♦♥s ❖✈❡r✈✐❡✇ ✶ ■♥tr♦❞✉❝t✐♦♥ ❇❧❛❝❦ ❍♦❧❡ ❊①❛♠♣❧❡ ✷ ❚❤❡r♠♦❞②♥❛♠✐❝ ◗✉❛♥t✐t✐❡s ✸ ❈r✐t✐❝❛❧ P❤❡♥♦♠❡♥❛ ✹ ❉✐s❝✉ss✐♦♥s ❚❤❡r♠♦❞②♥❛♠✐❝ ❙t✉❞② ♦❢ ❘❡✐ss♥❡r − ◆♦r❞strö♠ ◗✉✐♥t❡ss❡♥❝❡ ❇❧❛❝❦ ❍♦❧❡ ✸

  4. ■♥tr♦❞✉❝t✐♦♥ ❚❤❡r♠♦❞②♥❛♠✐❝ ◗✉❛♥t✐t✐❡s ❇❧❛❝❦ ❍♦❧❡ ❈r✐t✐❝❛❧ P❤❡♥♦♠❡♥❛ ❊①❛♠♣❧❡ ❉✐s❝✉ss✐♦♥s ❲❤❛t ❛ ❇❧❛❝❦ ❍♦❧❡ ✐s ❍✐❣❤❧② ❞❡♥s❡ ❝♦❧❧❛♣s❡❞ ♠❛ss✐✈❡ st❛r ❢r♦♠ ✇❤✐❝❤ ❣r❛✈✐t② ♣r❡✈❡♥ts ❛♥②t❤✐♥❣ ✐♥❝❧✉❞✐♥❣ ❧✐❣❤t✱ ❢r♦♠ ❡s❝❛♣✐♥❣ ✳ • ■♥ ◆❡✇t♦♥✐❛♥ ♣❤②s✐❝s � • t❤❡ ❡s❝❛♣❡ ✈❡❧♦❝✐t②✭ v esc = 2 GM/R ✮❀ ✐❢ v esc ❡①❝❡❡❞s t❤❡ s♣❡❡❞ ♦❢ ❧✐❣❤t t❤❡♥ t❤❡ ❝♦rr❡s♣♦♥❞✐♥❣ ♦❜❥❡❝t ❜❡❝♦♠❡s ❇❍ • ■♥ ❣❡♥❡r❛❧ r❡❧❛t✐✈✐t② • ❇❧❛❝❦ ❤♦❧❡ ✐s ❛ r❡❣✐♦♥ ✇r❛♣♣❡❞ ❜② ❡✈❡♥t ❤♦r✐③♦♥ • ❊①❛♠♣❧❡ ✿ ❙❝❤✇❛r③❝❤✐❧❞ ▼❡tr✐❝ ds 2 = − (1 − 2 GM c 2 r ) dt 2 + c 2 r ) dr 2 + r 2 ( dθ 2 + sin 2 θdφ 2 ) 1 (1 − 2 GM ❲❤❡r❡✱ r h = 2 GM ✐s t❤❡ ❡✈❡♥t ❤♦r✐③♦♥✳ c 2 ❚❤❡r♠♦❞②♥❛♠✐❝ ❙t✉❞② ♦❢ ❘❡✐ss♥❡r − ◆♦r❞strö♠ ◗✉✐♥t❡ss❡♥❝❡ ❇❧❛❝❦ ❍♦❧❡ ✹

  5. ■♥tr♦❞✉❝t✐♦♥ ❚❤❡r♠♦❞②♥❛♠✐❝ ◗✉❛♥t✐t✐❡s ❇❧❛❝❦ ❍♦❧❡ ❈r✐t✐❝❛❧ P❤❡♥♦♠❡♥❛ ❊①❛♠♣❧❡ ❉✐s❝✉ss✐♦♥s ❲❤❛t ❛ ❇❧❛❝❦ ❍♦❧❡ ✐s ❍✐❣❤❧② ❞❡♥s❡ ❝♦❧❧❛♣s❡❞ ♠❛ss✐✈❡ st❛r ❢r♦♠ ✇❤✐❝❤ ❣r❛✈✐t② ♣r❡✈❡♥ts ❛♥②t❤✐♥❣ ✐♥❝❧✉❞✐♥❣ ❧✐❣❤t✱ ❢r♦♠ ❡s❝❛♣✐♥❣ ✳ • ■♥ ◆❡✇t♦♥✐❛♥ ♣❤②s✐❝s � • t❤❡ ❡s❝❛♣❡ ✈❡❧♦❝✐t②✭ v esc = 2 GM/R ✮❀ ✐❢ v esc ❡①❝❡❡❞s t❤❡ s♣❡❡❞ ♦❢ ❧✐❣❤t t❤❡♥ t❤❡ ❝♦rr❡s♣♦♥❞✐♥❣ ♦❜❥❡❝t ❜❡❝♦♠❡s ❇❍ • ■♥ ❣❡♥❡r❛❧ r❡❧❛t✐✈✐t② • ❇❧❛❝❦ ❤♦❧❡ ✐s ❛ r❡❣✐♦♥ ✇r❛♣♣❡❞ ❜② ❡✈❡♥t ❤♦r✐③♦♥ • ❊①❛♠♣❧❡ ✿ ❙❝❤✇❛r③❝❤✐❧❞ ▼❡tr✐❝ ds 2 = − (1 − 2 GM c 2 r ) dt 2 + c 2 r ) dr 2 + r 2 ( dθ 2 + sin 2 θdφ 2 ) 1 (1 − 2 GM ❲❤❡r❡✱ r h = 2 GM ✐s t❤❡ ❡✈❡♥t ❤♦r✐③♦♥✳ c 2 ❚❤❡r♠♦❞②♥❛♠✐❝ ❙t✉❞② ♦❢ ❘❡✐ss♥❡r − ◆♦r❞strö♠ ◗✉✐♥t❡ss❡♥❝❡ ❇❧❛❝❦ ❍♦❧❡ ✹

  6. ■♥tr♦❞✉❝t✐♦♥ ❚❤❡r♠♦❞②♥❛♠✐❝ ◗✉❛♥t✐t✐❡s ❇❧❛❝❦ ❍♦❧❡ ❈r✐t✐❝❛❧ P❤❡♥♦♠❡♥❛ ❊①❛♠♣❧❡ ❉✐s❝✉ss✐♦♥s ❲❤❛t ❛ ❇❧❛❝❦ ❍♦❧❡ ✐s ❍✐❣❤❧② ❞❡♥s❡ ❝♦❧❧❛♣s❡❞ ♠❛ss✐✈❡ st❛r ❢r♦♠ ✇❤✐❝❤ ❣r❛✈✐t② ♣r❡✈❡♥ts ❛♥②t❤✐♥❣ ✐♥❝❧✉❞✐♥❣ ❧✐❣❤t✱ ❢r♦♠ ❡s❝❛♣✐♥❣ ✳ • ■♥ ◆❡✇t♦♥✐❛♥ ♣❤②s✐❝s � • t❤❡ ❡s❝❛♣❡ ✈❡❧♦❝✐t②✭ v esc = 2 GM/R ✮❀ ✐❢ v esc ❡①❝❡❡❞s t❤❡ s♣❡❡❞ ♦❢ ❧✐❣❤t t❤❡♥ t❤❡ ❝♦rr❡s♣♦♥❞✐♥❣ ♦❜❥❡❝t ❜❡❝♦♠❡s ❇❍ • ■♥ ❣❡♥❡r❛❧ r❡❧❛t✐✈✐t② • ❇❧❛❝❦ ❤♦❧❡ ✐s ❛ r❡❣✐♦♥ ✇r❛♣♣❡❞ ❜② ❡✈❡♥t ❤♦r✐③♦♥ • ❊①❛♠♣❧❡ ✿ ❙❝❤✇❛r③❝❤✐❧❞ ▼❡tr✐❝ ds 2 = − (1 − 2 GM c 2 r ) dt 2 + c 2 r ) dr 2 + r 2 ( dθ 2 + sin 2 θdφ 2 ) 1 (1 − 2 GM ❲❤❡r❡✱ r h = 2 GM ✐s t❤❡ ❡✈❡♥t ❤♦r✐③♦♥✳ c 2 ❚❤❡r♠♦❞②♥❛♠✐❝ ❙t✉❞② ♦❢ ❘❡✐ss♥❡r − ◆♦r❞strö♠ ◗✉✐♥t❡ss❡♥❝❡ ❇❧❛❝❦ ❍♦❧❡ ✹

  7. ■♥tr♦❞✉❝t✐♦♥ ❚❤❡r♠♦❞②♥❛♠✐❝ ◗✉❛♥t✐t✐❡s ❇❧❛❝❦ ❍♦❧❡ ❈r✐t✐❝❛❧ P❤❡♥♦♠❡♥❛ ❊①❛♠♣❧❡ ❉✐s❝✉ss✐♦♥s ❲❤❛t ❛ ❇❧❛❝❦ ❍♦❧❡ ✐s ❍✐❣❤❧② ❞❡♥s❡ ❝♦❧❧❛♣s❡❞ ♠❛ss✐✈❡ st❛r ❢r♦♠ ✇❤✐❝❤ ❣r❛✈✐t② ♣r❡✈❡♥ts ❛♥②t❤✐♥❣ ✐♥❝❧✉❞✐♥❣ ❧✐❣❤t✱ ❢r♦♠ ❡s❝❛♣✐♥❣ ✳ • ■♥ ◆❡✇t♦♥✐❛♥ ♣❤②s✐❝s � • t❤❡ ❡s❝❛♣❡ ✈❡❧♦❝✐t②✭ v esc = 2 GM/R ✮❀ ✐❢ v esc ❡①❝❡❡❞s t❤❡ s♣❡❡❞ ♦❢ ❧✐❣❤t t❤❡♥ t❤❡ ❝♦rr❡s♣♦♥❞✐♥❣ ♦❜❥❡❝t ❜❡❝♦♠❡s ❇❍ • ■♥ ❣❡♥❡r❛❧ r❡❧❛t✐✈✐t② • ❇❧❛❝❦ ❤♦❧❡ ✐s ❛ r❡❣✐♦♥ ✇r❛♣♣❡❞ ❜② ❡✈❡♥t ❤♦r✐③♦♥ • ❊①❛♠♣❧❡ ✿ ❙❝❤✇❛r③❝❤✐❧❞ ▼❡tr✐❝ ds 2 = − (1 − 2 GM c 2 r ) dt 2 + c 2 r ) dr 2 + r 2 ( dθ 2 + sin 2 θdφ 2 ) 1 (1 − 2 GM ❲❤❡r❡✱ r h = 2 GM ✐s t❤❡ ❡✈❡♥t ❤♦r✐③♦♥✳ c 2 ❚❤❡r♠♦❞②♥❛♠✐❝ ❙t✉❞② ♦❢ ❘❡✐ss♥❡r − ◆♦r❞strö♠ ◗✉✐♥t❡ss❡♥❝❡ ❇❧❛❝❦ ❍♦❧❡ ✹

  8. ■♥tr♦❞✉❝t✐♦♥ ❚❤❡r♠♦❞②♥❛♠✐❝ ◗✉❛♥t✐t✐❡s ❇❧❛❝❦ ❍♦❧❡ ❈r✐t✐❝❛❧ P❤❡♥♦♠❡♥❛ ❊①❛♠♣❧❡ ❉✐s❝✉ss✐♦♥s ❲❤❛t ❛ ❇❧❛❝❦ ❍♦❧❡ ✐s ❍✐❣❤❧② ❞❡♥s❡ ❝♦❧❧❛♣s❡❞ ♠❛ss✐✈❡ st❛r ❢r♦♠ ✇❤✐❝❤ ❣r❛✈✐t② ♣r❡✈❡♥ts ❛♥②t❤✐♥❣ ✐♥❝❧✉❞✐♥❣ ❧✐❣❤t✱ ❢r♦♠ ❡s❝❛♣✐♥❣ ✳ • ■♥ ◆❡✇t♦♥✐❛♥ ♣❤②s✐❝s � • t❤❡ ❡s❝❛♣❡ ✈❡❧♦❝✐t②✭ v esc = 2 GM/R ✮❀ ✐❢ v esc ❡①❝❡❡❞s t❤❡ s♣❡❡❞ ♦❢ ❧✐❣❤t t❤❡♥ t❤❡ ❝♦rr❡s♣♦♥❞✐♥❣ ♦❜❥❡❝t ❜❡❝♦♠❡s ❇❍ • ■♥ ❣❡♥❡r❛❧ r❡❧❛t✐✈✐t② • ❇❧❛❝❦ ❤♦❧❡ ✐s ❛ r❡❣✐♦♥ ✇r❛♣♣❡❞ ❜② ❡✈❡♥t ❤♦r✐③♦♥ • ❊①❛♠♣❧❡ ✿ ❙❝❤✇❛r③❝❤✐❧❞ ▼❡tr✐❝ ds 2 = − (1 − 2 GM c 2 r ) dt 2 + c 2 r ) dr 2 + r 2 ( dθ 2 + sin 2 θdφ 2 ) 1 (1 − 2 GM ❲❤❡r❡✱ r h = 2 GM ✐s t❤❡ ❡✈❡♥t ❤♦r✐③♦♥✳ c 2 ❚❤❡r♠♦❞②♥❛♠✐❝ ❙t✉❞② ♦❢ ❘❡✐ss♥❡r − ◆♦r❞strö♠ ◗✉✐♥t❡ss❡♥❝❡ ❇❧❛❝❦ ❍♦❧❡ ✹

Download Presentation
Download Policy: The content available on the website is offered to you 'AS IS' for your personal information and use only. It cannot be commercialized, licensed, or distributed on other websites without prior consent from the author. To download a presentation, simply click this link. If you encounter any difficulties during the download process, it's possible that the publisher has removed the file from their server.

Recommend


More recommend