Isn't poetry essentially song lyrics? Particularly the song "Gravity" by Sara Bareilles.

It's true that lyrics are essentially poems.  In fact,
the early recorded poetry we have in English literature was actually sung by traveling
poets called scops.  They would move from place to place, staying
for a short period of time, entertaining at banquets and feasts around the country to
earn their keep.  You may have heard of Beowulf, which was sung for
over a century before it was finally written down by monks in the Middle
Ages.

Lyrics do often share some common characteristics
with poetry, elements such as rhyme, meter, figurative language, repetition, and
chorus/refrain.  Often lyrics, because they are set to music, do have anomalies, such as
elongated lines or staccato phrases to match the music.  Generally, though, looking at a
lyric is just like looking at a poem.

I'm not familiar with
"Gravity," but a look at one of the stanzas will demonstrate what I
mean:

You
hold me without touch.

You keep me without
chains.

I never wanted anything so
much

Than to drown in your love and not feel your
rain.

There is a clear rhyme
scheme (ABAB), parallel structure (first two lines), and figurative language (clearly
the drowning here is not literal, and no person can produce rain).  Notice, too, the
length of the last line; a poem would generally not break the meter with such a long
line, though it obviously fits the music for this song.

In
short, a poem and a lyric are clearly more similar than
different.