Duba tsatso na Filin nauyi

[[File:Flamm.svg  |thumb|Flamm ]]
[[Fayil:Gravitational field Earth lines equipotentials mk.svg|thumb|Gravitational field]]
[[Fayil:Newtonian gravity field (physics).svg|thumb|nau'in gravity]]
A cikin ilimin kimiyyar lissafi,'''filin gravitational''' ko '''filin hanzari na gravitational''' filin vector da ake amfani da shi don bayyana tasirin da jiki ke shimfidawa zuwa sararin da ke kewaye da kansa.<ref>{{cite book |author-link=Richard Feynman |first=Richard |last=Feynman |title=The Feynman Lectures on Physics |volume= I |publisher=Addison Wesley Longman |year=1970 |isbn=978-0-201-02115-8 |url=https://feynmanlectures.caltech.edu/I_07.html}}</ref> amfani da filin gravitational don yin bayani game da abubuwan mamakikamar ''filin ƙarfin nauyi'' da aka yi akan wani babban jiki.Yana da girma na hanzari (L/T <sup>2</sup> )kuma ana auna shi a cikin raka'a na newtons kowace [[Kilogram|kilogiram]] (N/kg) ko kuma, dai-dai,a cikin [[mita]] a kowace murabba'i [[Sakan|na biyu]](m/s <sup>2</sup> ).<ref>{{cite book |title=Einstein's General Theory of Relativity: with Modern Applications in Cosmology |first1=Øyvind |last1=Grøn |first2=Sigbjørn |last2=Hervik |publisher=Springer Japan |date=2007 |isbn=978-0-387-69199-2 |page=256 |url=https://books.google.com/books?id=IyJhCHAryuUC&pg=PA256 }}</ref> 

A cikin ainihin ma'anarsa,nauyi wani ƙarfi ne tsakanin ma'auni.Bayan [[Isaac Newton|Ishaku Newton]], Pierre-Simon Laplace yayi ƙoƙari ya ƙirƙira nauyi a matsayin wani nau'in filin radiation ko ruwa,kuma tun daga karni na 19, an koyar da bayani game da nauyi a cikin makanikai na gargajiya yawanci dangane da samfurin filin,maimakon jan hankali. Yana haifar da gradient sarari na yuwuwar filin gravitational.

A general relativity,maimakon biyu barbashi jawo juna,da barbashi karkatar da spacetime via da taro,da kuma wannan murdiya shi ne abin da ake gane da kuma auna a matsayin "karfi".{{Ana bukatan hujja|date=August 2020}}</link>A cikin irin wannan samfurin mutum yana faɗin cewa kwayoyin halitta suna motsawa ta wasu hanyoyi don mayar da martani ga karkatar da lokacin sararin samaniya, ko dai ''babu wani ƙarfi na nauyi'',ko kuma cewa nauyi wani ƙarfi ne.

== Makanikai na gargajiya ==
A cikin injiniyoyi na gargajiya,filin gravitational adadi ne na zahiri. Ana iya bayyana filin gravitational ta amfani da dokar Newton ta duniya gravitation.<ref>{{cite book |author-link=Richard Feynman |first=Richard |last=Feynman |title=The Feynman Lectures on Physics |volume= II |publisher=Addison Wesley Longman |year=1970 |isbn=978-0-201-02115-8 |url=https://feynmanlectures.caltech.edu/II_01.html#Ch1-S2 |quote="A 'field' is any physical quantity which takes on different values at different points in space."}}</ref>  An ƙaddara ta wannan hanya,filin gravitational g a kusa da barbashi ɗaya na mass M filin vector ne wanda ya ƙunshi kowane wuri na vector yana nunawa kai tsaye zuwa ga barbashi.Girman filin a kowane wuri ana ƙididdige shi ta hanyar amfani da dokar duniya,kuma yana wakiltar ƙarfin kowace raka'a akan kowane abu a wannan lokacin a sararin samaniya.Saboda filin karfi yana da ra'ayin mazan jiya,akwai yuwuwar makamashi mai ƙarfi ta kowace naúrar,Φ,a kowane wuri a sararin samaniya da ke hade da filayen karfi;wannan shi ake kira karfin nauyi.Ma'aunin filin gravitational shine <math display="block">\nabla\cdot\mathbf{g}=-\nabla^2\Phi=-4\pi G\rho</math>inda F shine ƙarfin gravitational, m shine yawan adadin gwajin gwajin, R shine matsayi na gwajin gwajin (ko don dokar motsi ta biyu na Newton wanda shine aikin da ya dogara da lokaci, saitin matsayi na kwayoyin gwaji kowanne yana mamaye wani musamman. aya a sararin samaniya don farkon gwaji), R̂ shine naúrar vector a cikin radial direction na R, t [[lokaci]] ne, G shine akai-akai na gravitational, kuma ∇ shine mai aiki na del.<ref>{{cite book|title=Dynamics and Relativity |first1=J. R. |last1=Forshaw |first2=A. G. |last2=Smith |publisher=Wiley |date=2009 |isbn=978-0-470-01460-8}}{{page needed|date=October 2017}}</ref>

Wannan ya haɗa da dokar Newton ta duniya gravitation, da alaƙa tsakanin yuwuwar gravitational da hanzarin filin. Lura cewa<math display="block">\mathbf{g}=\frac{\mathbf{F}}{m}=\frac{d^2\mathbf{R}}{dt^2}=-GM\frac{\mathbf{\hat R}}{\left|\mathbf{R}\right|^2} = -\nabla\Phi</math>

==Manazarta ==