
bonner punjam

saadhaarana saapekshatalo, bonner punjam anedi khachitamaina parishkaram, idhi anantamaina podavaina, saralamaina kaanti punjamnu roopondistundi. idhi pp-taranga antariksha kaalaaniki spashtamaina udaaharana. dheeniki vilium bii paeru pettaru. modata daanini vivarinchina bonner.
rendu praantaalanu kalapadam dwara bonner punjam pondabadutundihi
avi kalise "cylinder" paie, rendu praantaalu metrik tensor mariyu extrinsic karvchar tensor angeekarinchaalani paerkontuu saripolika sharatulaku kattubadi undaali.
parishkaram yokka antargata bhaagam ilaa nirvachinchabadindih
idhi shoonya dhooli draavanam mariyu asambaddha vidyudayaskaanta vikiranam anie ardham chesukovacchu.
parishkaram yokka bahya bhaagam ilaa nirvachinchabadindih
bonner punjam oke disalo prayaaninchae aneka samaantara kiranaalaku saadhaaraneekarinchavachchu. bahusha aascharyakaramgaa, kiranaalu okadaanikokati vangi undavu. marovaipu, "samaantara vyatiraeka" kiranaalu (samaantara pathaala venta prayaanistuu, conny vyatiraeka disalalo) okadaanikokati "aakarshistaayi". idhi oka saadhaarana drugvishayaanni pratibimbistumdih samaantara taranga vahakalu kaligina rendu pp-taramgaalu saralamgaa atigaa amarchutaayi, conny samaantara taranga vahakalu (samaantara baanar kiranaalatoe sahaa) unna pp-taramgaalu inestein kshetra sameekaranam yokka rekhaatmaka swabhaavam nundi manam aasinchinatlugaa saralamgaa atigaa amarchavu.