Path of the Hellborn

Hellborn Barbarians relish in flames, finding delight in every burn they inflict, whether it is on themselves or others. You use your hellish abilities to wreak havoc on the battlefield, scorching any who try to oppose you. Hellborn Barabarians have been touched by demonic energies, causing their very bodies to become a font of hellfire, allowing them to bring destruction to their foes, with the small disadvantage of harming themselves. Fighting alongside a Hellborn can be very worrisome, as you can never know if they will care about your well being when it comes to being incinerated.
The fury and power of the nine Hells courses through your vines like liquid fire. While you might not be born of the hells your anger and rage surely were forged in the in the deepest pits. Your rage burns and twists your very being as your victims' souls are casted to the pits of the nine hells. You are the fury of the hells unleashed on the mortal realm. Gods help anyone who stands in your way.

Hell's Visage

Starting when you choose this path at 3rd level, you can go into a ignition state when you rage. If you do so, for the duration of your rage, you takes 1d8 fire damages at the start of your turn, but each of your attacks deal extra fire damages equal to 1d4+half your barbarian level (rounded up).

Hellish Might

Beginning at 6th level, you are surrounded with a fiery aura of 10ft centered on you while you are raging, you can use your bonus action to ignites it dealing fire damages equals your proficiency bonus to all creature that is in your aura except yourself.

In addition, while a hostile creature is in your aura, you ignore its fire resistance and treat its fire immunity as resistance.

Intensifying Flame

Beginning at 10th level, when you landed a critical attack on a creature, that creature is burnt, it'll take fire damages equal to 1d10+half your barbarian level at the starts of its each turn. The creature can use its action to douse off the flame. This effect can’t stack.

Hellish Combustion

Starting at 14th level, whenever your rage is ended, every creature in a 30ft radius of you will takes fire damages equal to 2d10+your level in this class including yourself.